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Popov Vladimir Leonidovich
(full list of publications)
| by years | scientific publications | by types |


Articles


   2018
1. Vladimir L. Popov, “Modality of representations, and packets for $\theta$-groups”, Lie Groups, Geometry, and Representation Theory: In Honor of Bertram Kostant, 1st ed., Progress in Mathematics, eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear) arxiv.org/abs/1707.07720

   2017
2. Vladimir L. Popov, “Do we create mathematics or do we gradually discover theories which exist somewhere independently of us?”, Eur. Math. Soc. Newsl., 107 (2017), 37 http://www.ems-ph.org/journals/newsletter/pdf/2017-03-103.pdf  mathnet
3. V. L. Popov, “Borel subgroups of Cremona groups”, Mathematical Notes, 102:1 (2017), 60-67  mathnet  crossref  crossref  crossref  elib
4. V. L. Popov, “On modality of representations”, Doklady Mathematics, 96:1 (2017), 312–314 doi.org/10.1134/S1064562417040032  mathnet  crossref  crossref  isi  elib  scopus
5. Vladimir L. Popov, “Bass' triangulability problem”, Adv. Stud. Pure Math., 75, Algebraic Varieties and Automorphism Groups, 2017, 425–441 , Math. Soc. Japan, Kinokuniya, Tokyo, arXiv: 1504.03867  mathnet

   2016
6. Vladimir L. Popov, “Birational splitting and algebraic group actions”, Eur. J. Math., 2:1 (2016), 283–290 , Published online: 16 May 2015 https://www.math.uni-bielefeld.de/LAG/man/552.pdf, arXiv: 1502.02167  mathnet  crossref  mathscinet  zmath  elib  scopus
7. V. L. Popov, “Algebras of General Type: Rational Parametrization and Normal Forms”, Proc. Steklov Inst. Math., 292:1 (2016), 202–215  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
8. V. L. Popov, “Subgroups of the Cremona groups: Bass' problem”, Dokl. Math., 93:3 (2016), 307–309  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2015
9. Vladimir L. Popov, “Around the Abhyankar–Sathaye conjecture”, Documenta Mathematica, 2015, Extra Volume:Alexander S. Merkurjev's Sixtieth Birthday (The Book Series, Vol. 7), 513–528 https://www.math.uni-bielefeld.de/documenta/vol-merkurjev/popov.html, arXiv: 1409.6330 (ISSN 1431-0643 (INTERNET), 1431-0635 (PRINT))  mathnet  mathscinet
10. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst. Math., 289 (2015), 221–226 , arXiv: 1310.6548v2  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 2)
11. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math., 290 (2015), 84–90 , arXiv: 1503.08303  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
12. Vladimir L. Popov, “On the equations defining affine algebraic groups”, Pacific J. Math., 279:1-2, Special issue. In memoriam: Robert Steinberg (2015), 423–446 http://msp.org/pjm/2015/279-1/p19.xhtml, arXiv: 1508.02860  mathnet  crossref  mathscinet  isi  scopus
13. Vladimir L. Popov, “Is one of the two orbits in the closure of the other?”, Appendix B in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed., Springer, Berlin, 2015, 309–322 www.springer.com/gp/book/9783662484203  crossref
14. Vladimir L. Popov, “Stratification of the nullcone”, Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 323–344 www.springer.com/gp/book/9783662484203  crossref
15. Norbert A'Campo, Vladimir L. Popov, “The source code of HNC”, Addendum to Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 345–358 www.springer.com/gp/book/9783662484203  crossref

   2014
16. V. L. Popov, “Quotients by conjugation action, cross-sections, singularities,and representation rings”, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras (Mathematisches Forschungsinstitut Oberwolfach, 19 January – 25 January 2014), Oberwolfach Reports, 11, no. 1, European Mathematical Society, 2014, 156–159
17. V. L. Popov, “On infinite dimensional algebraic transformation groups”, Transform. Groups, 19:2, special issue dedicated to E. B. Dynkin's 90th anniversary (2014), 549–568 https://www.math.uni-bielefeld.de/LAG/man/523.pdf, arXiv: 1401.0278  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
18. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Automorphisms in birational and affine geometry, Springer Proceedings in Mathematics & Statistics, 79, Springer, 2014, 185–213 https://www.math.uni-bielefeld.de/LAG/man/508.pdf, arXiv: 1307.5522  mathnet  crossref  mathscinet  zmath  scopus (cited: 6)

   2013
19. V. L. Popov, “Tori in the Cremona groups”, Izv. Math., 77:4, special issue on the occasion of I. R. Shafarevich's 90th anniversary (2013), 742–771 https://www.math.uni-bielefeld.de/LAG/man/474.pdf  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
20. V. L. Popov, “Some subgroups of the Cremona groups”, Affine algebraic geometry, Proceedings of the conference on the occasion of M. Miyanishi's 70th birthday (Osaka, Japan, 3–6 March 2011), World Scientific Publishing Co., Singapore, 2013, 213–242 https://www.math.uni-bielefeld.de/LAG/man/448.pdf  crossref  isi (cited: 4)
21. V. L. Popov, “Algebraic groups and the Cremona group”, Algebraic groups (Mathematisches Forschungsinstitut Oberwolfach, 7 April – 13 April 2013), Oberwolfach Reports, 10, no. 2, European Mathematical Society, 2013, 1053–1055
22. V. L. Popov, “Rationality and the FML invariant”, Journal of the Ramanujan Mathematical Society, 28A (2013), 409–415 http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-017.html, https://www.math.uni-bielefeld.de/LAG/man/485.pdf (special Issue-2013 dedicated to C. S. Seshadri's 80th birthday)  mathnet  mathscinet (cited: 1)  zmath  isi (cited: 2)

   2012
23. V. L. Popov, Editor's preface to the Russian translation of the book: D. A. Cox, S. Katz, Mirror symmetry and algebraic geometry, ed. V. L. Popov, MCCME, Moscow, 2012, 5

   2011
24. J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, “Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?”, Compos. Math., 147:2 (2011), 428–466  crossref  mathscinet (cited: 12)  zmath  isi (cited: 8)  scopus (cited: 6)
25. V. L. Popov, “Cross-sections, quotients, and representation rings of semisimple algebraic groups”, Transform. Groups, 16:3, special issue dedicated to Tonny Springer on the occasion of his 85th birthday (2011), 827–856  crossref  mathscinet (cited: 5)  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 4)
26. V. L. Popov, “On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties”, Affine algebraic geometry: the Russell Festschrift, CRM Proceedings and Lecture Notes, 54, Amer. Math. Soc., 2011, 289–311 https://www.math.uni-bielefeld.de/LAG/man/375.pdf  mathscinet (cited: 13)  zmath  isi (cited: 14)

   2009
27. V. L. Popov, “Two orbits: When is one in the closure of the other?”, Proc. Steklov Inst. Math., 264 (2009), 146–158  mathnet  crossref  mathscinet  isi (cited: 4)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
28. V. L. Popov, “Algebraic Cones”, Math. Notes, 86:6 (2009), 892–894  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus

   2008
29. V. L. Popov, “Irregular and singular loci of commuting varieties”, Transformation Groups, 13:3-4, special issue dedicated to Bertram Kostant on the occasion of his 80th birthday (2008), 819–837  crossref  mathscinet (cited: 9)  zmath  isi (cited: 8)  elib (cited: 8)  scopus (cited: 9)

   2007
30. V. L. Popov, “Generically multiple transitive algebraic group actions”, Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces (Mumbai, 2004), Tata Institute of Fundamental Research, 19, Narosa Publishing House, Internat. distrib. by American Mathematical Society, New Delhi, 2007, 481–523  mathscinet (cited: 12)  zmath
31. V. L. Popov, “Tensor product decompositions and open orbits in multiple flag varieties”, J. Algebra, 313:1 (2007), 392–416  crossref  mathscinet (cited: 5)  zmath  isi (cited: 4)  elib (cited: 5)  scopus (cited: 4)
32. N. Lemire, V. L. Popov, Z. Reichstein, “On the Cayley degree of an algebraic group”, Proceedings of the XVIth Latin American Algebra Colloquium (Spanish), Bibl. Rev. Mat. Iberoamericana, Rev. Mat. Iberoamericana, Madrid, 2007, 87–97  mathscinet  zmath
33. V. L. Popov, “Quasihomogeneous affine threefolds”, Affine algebraic geometry (Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1, Europ. Math. Soc., 2007, 13–16 http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1
34. V. L. Popov, “Birationally nonequivalent linear actions. Cayley degrees of simple algebraic groups. Singularities of two-dimensional quotients”, Affine Algebraic Geometry (Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1, Europ. Math. Soc., 2007, 75–78 http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1

   2006
35. V. L. Popov, Yu. G. Zarhin, “Finite linear groups, lattices, and products of elliptic curves”, J. Algebra, 305:1 (2006), 562–576  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
36. M. Losik, P. W. Michor, V. L. Popov, “On polarizations in invariant theory”, J. Algebra, 301:1 (2006), 406–424  crossref  mathscinet (cited: 7)  zmath  isi (cited: 8)  elib (cited: 7)  scopus (cited: 8)
37. N. Lemire, V. L. Popov, Z. Reichstein, “Cayley groups”, J. Amer. Math. Soc., 19:4 (2006), 921–967  crossref  mathscinet (cited: 9)  zmath  isi (cited: 9)  elib (cited: 8)  scopus (cited: 9)

   2005
38. V. L. Popov, “Projective duality and principal nilpotent elements of symmetric pairs”, Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2, 213, Amer. Math. Soc., Providence, RI, 2005, 215–222  mathscinet (cited: 2)  zmath
39. V. L. Popov, “Roots of the affine Cremona group; Rationality of homogeneous spaces; Two locally nilpotent derivations”, Affine algebraic geometry, Contemp. Math., 369, Amer. Math. Soc., Providence, RI, 2005, 12–16

   2004
40. V. L. Popov, E. A. Tevelev, “Self-dual projective algebraic varieties associated with symmetric spaces”, Algebraic transformation groups and algebraic varieties, Proceedings of the International conference “Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory” (the Erwin Schrödinger Institute, Vienna, October 22–26, 2001), Invariant Theory and Algebraic Transformation Groups, III, Encyclopaedia of Mathematical Sciences, 132, eds. V. L. Popov, Springer, Heidelberg, Berlin, 2004, 131–167  mathscinet (cited: 7)  zmath  isi (cited: 6)
41. V. L. Popov, “Moment polytopes of nilpotent orbit closures; Dimension and isomorphism of simple modules; and Variations on the theme of J. Chipalkatti”, Invariant theory in all characteristics, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., Providence, RI, 2004, 193–198  mathscinet (cited: 2)  zmath

   2003
42. N. L. Gordeev, V. L. Popov, “Automorphism groups of finite dimensional simple algebras”, Ann. of Math. (2), 158:3 (2003), 1041–1065  crossref  mathscinet (cited: 6)  zmath  isi (cited: 6)  elib (cited: 5)  scopus (cited: 5)
43. M. Losik, P. W. Michor, V. L. Popov, “Invariant tensor fields and orbit varieties for finite algebraic transformation groups”, A Tribute to C. S. Seshadri: Perspectives in Geometry and Representation Theory (Chennai, 2002), Hindustan Book Agency (India), Chennai, 2003, 346–378  mathscinet (cited: 4)  zmath
44. V. L. Popov, “The Cone of Hilbert nullforms”, Proc. Steklov Inst. Math., 241 (2003), 177–194  mathnet  mathscinet  zmath

   2002
45. V. L. Popov, “Self-dual algebraic varieties and nilpotent orbits”, Proceedings of the international conference “Algebra, Arithmetic and Geometry”, Part II (Mumbai, 2000), Tata Institute of Fundamental Research, 16, Narosa Publishing House, intern. distrib. by American Mathematical Society, New Delhi, 2002, 509–533  mathscinet (cited: 6)  zmath
46. V. L. Popov, “Constructive invariant theory”, Collection of Papers Commemorating 40th Anniversary of MGIEM, MIEM Publ., Moscow, 2002, 103–106

   2001
47. V. L. Popov, “On polynomial automorphisms of affine spaces”, Izv. Math., 65:3 (2001), 569–587  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus

   2000
48. P. I. Katsylo, V. L. Popov, “On Fixed Points of Algebraic Actions on $\mathbb{C}^n$”, Funct. Anal. Appl., 34:1 (2000), 33–40  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
49. V. L. Popov, Editor's preface to the Russian translation of the book: D. Cox, J. Little, D. O'Shea, Ideals, Varieties, and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra (2nd edition, Springer, 1998), ed. V. L. Popov, Mir, Moscow, 2000, 6

   1998
50. V. L. Popov, “Comments to the papers by D. Hilbert “Über die Theorie der algebraischen Formen” and “Über die vollen Invariantensysteme””: D. Hilbert, Selected Works, Factorial Publ., Moscow, 1998, 490–517

   1997
51. V. Popov, G. Röhrle, “On the number of orbits of a parabolic subgroup on its unipotent radical”, Algebraic Groups and Lie Groups, Australian Mathematical Society Lecture Series, 9, Cambridge University Press, Cambridge, 1997, 297–320  mathscinet (cited: 16)  zmath
52. V. L. Popov, “A finiteness theorem for parabolic subgroups of fixed modality”, Indag. Math. (N.S.), 8:1 (1997), 125–132  crossref  mathscinet (cited: 7)  zmath  isi (cited: 10)  elib (cited: 9)  scopus (cited: 10)
53. V. L. Popov, “On the Closedness of Some Orbits of Algebraic Groups”, Funct. Anal. Appl., 31:4 (1997), 286–289  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   1995
54. V. L. Popov, “An analogue of M. Artin's conjecture on invariants for nonassociative algebras”, Lie Groups and Lie Algebras: E. B. Dynkin's Seminar, American Mathematical Society Translations Ser. 2, 169, Amer. Math. Soc., Providence, RI, 1995, 121–143  mathscinet (cited: 4)  zmath  isi (cited: 23)

   1994
55. V. Popov, “Sections in invariant theory”, Proceedings of The Sophus Lie Memorial Conference (Oslo, 1992), Scandinavian University Press, Oslo, 1994, 315–361  mathscinet (cited: 28)
56. V. L. Popov, “Divisor class groups of the semigroups of the highest weights”, J. Algebra, 168:3 (1994), 773–779  crossref  mathscinet  zmath  isi  elib  scopus
57. V. L. Popov, E. B. Vinberg, “Invariant theory”, Encyclopaedia of Mathematical Sciences, 55, Algebraic Geometry IV, Springer-Verlag, Berlin, Heidelberg, New York, 1994, 123–284

   1993
58. V. L. Popov, “Singularities of closures of orbits”, Quantum Deformations of Algebras and Their Representations (Ramat-Gan, 1991/1992; Rehovot, 1991/1992), Israel Math. Conference Proceedings, 7, Bar-Ilan University, Ramat Gan, 1993, 133–141  mathscinet (cited: 1)  zmath
59. V. L. Popov, Predislovie k russkomu perevodu knigi: V. Kats, Beskonechnomernye algebry Li, eds. V. L. Popov, Mir, M., 1993, 5–6 , 425 pp.  mathscinet (cited: 29)

   1992
60. V. L. Popov, “On the “lemma of Seshadri””, Arithmetic and Geometry of Varieties, Samara State Univ., Samara, 1992, 133139  mathscinet  zmath
61. V. L. Popov, È. B. Vinberg, “Some open problems in invariant theory”, Proc. Internat. Conf. in Algebra, Part 3 (Novosibirsk, 1989), Contemporary Mathematics, 131, Part 3, American Mathematical Society, Providence, RI, 1992, 485–497  crossref  mathscinet (cited: 3)  isi (cited: 51)
62. V. L. Popov, “On the “lemma of Seshadri””, Lie Groups, Their Discrete Subgroups, and Invariant Theory, Advances in Soviet Mathematics, 8, Amer. Math. Soc., Providence, RI, 1992, 167–172  mathscinet (cited: 3)

   1991
63. V. L. Popov, “Invariant theory”, Algebra and Analysis (Kemerovo, 1988), Amer. Math. Soc. Transl. Ser. 2, 148, Amer. Math. Soc., Providence, RI, 1991, 99–112  mathscinet (cited: 5)

   1990
64. V. L. Popov, “When are the stabilizers of all nonzero semisimple points finite?”, Operator algebras, unitary representations, nveloping algebras, and invariant theory (Paris, 1989), Progress in Mathematics, 92, Birkhäuser Boston, Boston, MA, 1990, 541–559  mathscinet (cited: 1)  isi (cited: 46)

   1989
65. V. L. Popov, “Some applications of algebra of functions on $G/U$”, Group Actions and Invariant Theory (Montreal, PQ, 1988), CMS Conference Proceedings, 10, Amer. Math. Soc., Providence, RI, 1989, 157–166  mathscinet
66. V. L. Popov, “Automorphism groups of polynomial algebras”, Problems in Algebra (Gomel'), v. 4, Universitetskoe, Minsk, 1989, 4–16  mathscinet
67. E. B. Vinberg, V. L. Popov, “Teoriya invariantov”, Algebraicheskaya geometriya–4, Itogi nauki i tekhn., Ser. Sovrem. probl. mat., Fundam. napravleniya, 55, VINITI, M., 1989, 137–309  mathnet (cited: 71)  mathscinet (cited: 129)  zmath [V.. L. Popov, È. B. Vinberg, “Invariant theory”, Algebraic Geometry–4, Encyclopaedia of Mathematical Sciences, 55, Springer-Verlag, Berlin, Heidelberg, 1994, 123–284]

   1988
68. V. L. Popov, “On the actions of ${\mathbf G}_a$ on ${\mathbf A}^n$”, Arithmetic and geometry of varieties, Kuibyshev. Gos. Univ., Kuybyshev, 1988, 9398  mathscinet
69. V. L. Popov, “Zamknutye orbity borelevskikh podgrupp”, Matem. sb., 135(177):3 (1988), 385–402  mathnet (cited: 3)  mathscinet (cited: 4)  zmath; V. L. Popov, “Closed orbits of Borel subgroups”, Math. USSR-Sb., 63:2 (1989), 375–392  crossref  mathscinet  zmath

   1987
70. V. L. Popov, “One and a half centuries in the theory of invariants”, Methodological analysis of mathematical theories, Akad. Nauk SSSR Prezid., Tsentral. Sovet Filos. (Metod.) Sem., Moscow, 1987, 235–256  mathscinet
71. V. L. Popov, “Modern developments in invariant theory”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, Amer. Math. Soc., Providence, RI, 1987, 394–406  mathscinet (cited: 1)
72. V. L. Popov, “On actions of ${\mathbf G}_a$ on ${\mathbf A}^n$”, Algebraic groups (Utrecht, 1986), Lecture Notes in Math., 1271, Springer, Berlin, 1987, 237–242  crossref  mathscinet (cited: 9)  isi (cited: 10)
73. V. L. Popov, Editor's preface to the Russian translation of the book: H. Kraft, Geometrische Methoden in der Invariantentheorie, eds. V. L. Popov, Mir, Moscow, 1987, 5–7  mathscinet  zmath

   1986
74. V. L. Popov, “Styagivanie deistvii reduktivnykh algebraicheskikh grupp”, Matem. sb., 130(172):3(7) (1986), 310–334  mathnet (cited: 29)  mathscinet (cited: 30)  zmath; V. L. Popov, “Contractions of the actions of reductive algebraic groups”, Math. USSR-Sb., 58:2 (1987), 311–335  crossref  mathscinet  zmath

   1985
75. H. Kraft, V. L. Popov, “Semisimple group actions on the three-dimensional affine space are linear”, Comment. Math. Helv., 60:3 (1985), 466–479  crossref  mathscinet (cited: 19)  zmath  isi (cited: 25)  elib (cited: 7)  scopus (cited: 24)

   1984
76. V. L. Popov, “Comments to the papers by H. Weyl “Theorie der Darstellung kontinuierlicher halbeinfacher Gruppen durch lineare TYransformationen”, "Spinors in $n$ dimensions" and “Eine für die Valenztheorie geeignete Basis der binären vektorinvarianten””, H. Weyl, Selected Works, Nauka, Moscow, 1984, 471478; 461467  mathscinet

   1983
77. V. L. Popov, “Homological dimension of algebras of invariants”, J. Reine Angew. Math., 341 (1983), 157–173  crossref  mathscinet (cited: 3)  zmath  isi (cited: 10)  scopus (cited: 8)
78. V. L. Popov, “Sizigii v teorii invariantov”, Izv. AN SSSR. Ser. matem., 47:3 (1983), 544–622  mathnet (cited: 5)  mathscinet (cited: 2)  zmath; V. L. Popov, “Syzygies in the theory of invariants”, Math. USSR-Izv., 22:3 (1984), 507–585  crossref  mathscinet  zmath

   1982
79. V. L. Popov, “Teorema konechnosti dlya predstavlenii so svobodnoi algebroi invariantov”, Izv. AN SSSR. Ser. matem., 46:2 (1982), 347–370  mathnet (cited: 4)  mathscinet  zmath; V. L. Popov, “A finiteness theorem for representations with a free algebra of invariants”, Math. USSR-Izv., 20:2 (1983), 333–354  crossref  mathscinet  zmath

   1981
80. V. L. Popov, “Constructive invariant theory”, Young Tableaux and Schur Functors in Algebra and Geometry (Toruń, 1980), Astérisque, 87, Soc. Math. France, Paris, 1981, 303–334  mathscinet (cited: 11)
81. V. L. Popov, “Konstruktivnaya teoriya invariantov”, Izv. AN SSSR. Ser. matem., 45:5 (1981), 1100–1120  mathnet (cited: 5)  mathscinet (cited: 3)  zmath; V. L. Popov, “The constructive theory of invariants”, Math. USSR-Izv., 19:2 (1982), 359–376  crossref  mathscinet  zmath
82. V. L. Popov, Preface to the Russian translation of: T. Springer, Invariant theory, Mir, Moscow, 1981, 5–8
83. V. L. Popov, “Appendix 3 to the Russian translation of the book: T. A. Springer, Invariant theory”, Mathematics. News in Foreign Science, 24, eds. V. L. Popov, Mir, Moscow, 1981, 153–182

   1979
84. V. L. Popov, “Hilbert's theorem on invariants”, Soviet Math. Dokl., 20:6 (1979), 1318–1322  mathscinet  zmath

   1978
85. V. L. Popov, “Klassifikatsiya spinorov razmernosti chetyrnadtsat”, Trudy Mosk. matem. obschestva, 37, MMO, 1978, 173–217  mathnet (cited: 1)  mathscinet (cited: 2)  zmath; V. L. Popov, “Classification of spinors of dimension fourteen”, Trans. Mosc. Math. Soc., 1 (1980), 181–232  zmath
86. V. L. Popov, “Algebraic curves with an infinite automorphism group”, Math. Notes, 23:2 (1978), 102–108  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  scopus (cited: 1)

   1977
87. V. L. Popov, “One conjecture of Steinberg”, Funct. Anal. Appl., 11:1 (1977), 70–71  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
88. V. L. Popov, “Classification of the spinors of dimension fourteen”, Uspekhi Mat. Nauk, 32:1(193) (1977), 199–200  mathnet  mathscinet  zmath

   1976
89. V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B, 283:12 (1976), A875–A878  mathscinet (cited: 12)
90. V. L. Popov, “Representations with a free module of covariants”, Funct. Anal. Appl., 10:3 (1976), 242–244  mathnet  crossref  mathscinet  zmath  scopus (cited: 24)

   1975
91. V. L. Popov, “The classification of representations which are exceptional in the sense of Igusa”, Funct. Anal. Appl., 9:4 (1975), 348–350  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
92. V. L. Popov, “Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group”, Math. USSR-Izv., 9:3 (1975), 535–576  mathnet  crossref  mathscinet  zmath

   1974
93. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles”, Math. USSR-Izv., 8:2 (1974), 301–327  mathnet  crossref  mathscinet  zmath
94. V. L. Popov, “Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations”, Math. Notes, 16:6 (1974), 1159–1162  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   1973
95. V. L. Popov, “Classification of affine algebraic surfaces that are quasihomogeneous with respect to an algebraic group”, Math. USSR-Izv., 7:5 (1973), 1039–1056  mathnet  crossref  mathscinet  zmath
96. V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831  mathnet  crossref  mathscinet  zmath

   1972
97. È. B. Vinberg, V. L. Popov, “On a class of quasihomogeneous affine varieties”, Math. USSR-Izv., 6:4 (1972), 743–758  mathnet  crossref  mathscinet  zmath
98. V. L. Popov, “On the stability of the action of an algebraic group on an algebraic variety”, Math. USSR-Izv., 6:2 (1972), 367–379  mathnet  crossref  mathscinet  zmath
99. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles”, Uspekhi Mat. Nauk, XXVII:4 (1972), 191–192  mathnet

   1971
100. E. M. Andreev, V. L. Popov, “Stationary subgroups of points of general position in the representation space of a semisimple Lie group”, Funct. Anal. Appl., 5:4 (1971), 265–271  mathnet  crossref  mathscinet  zmath  scopus (cited: 8)

   1970
101. V. L. Popov, “Stability criteria for the action of a semisimple group on a factorial manifold”, Math. USSR-Izv., 4:3 (1970), 527–535  mathnet  crossref  mathscinet  zmath

Books


   2018
102. Lie Groups, Geometry, and Representation Theory: In Honor of Bertram Kostant, Progress in Mathematics, 1st ed., eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear)

   2016
103. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya. Uchebnik i praktikum, Bakalavr. Akademicheskii kurs, 2-e izd., per. i dop., Yurait, Moskva, 2016 , 232 pp. http://urait.ru/catalog/388730

   1999
104. V. L. Popov, G. V. Sukhotsky, Analytic Geometry. Lectures and Exercises, MGIEM, SITMO Publ., Moscow, 1999 , ii+232 pp.

   1992
105. V. L. Popov, Groups, generators, syzygies, and orbits in invariant theory, Translations of Mathematical Monographs, 100, Amer. Math. Soc., Providence, RI, 1992 , vi+245 pp.  mathscinet (cited: 14)  zmath

   1982
106. V. L. Popov, Discrete Somplex Reflection Groups, Lectures delivered at the Math. Institute Rijksuniversiteit Utrecht in October 1980, Commun. Math. Inst. Rijksuniv. Utrecht, 15, Rijksuniversiteit Utrecht Mathematical Institute, Utrecht, 1982 , 89 pp.  mathscinet (cited: 14)  zmath
107. V. Grigor'ev, V. L. Popov, D. D. Solncev, Problems in algebra, MIEM Publ., Moscow, 1982 , 98 pp.

Proceedings


   2017
108. Vladimir L. Popov, “Discrete groups generated by complex reflections”, VI-th conference on algebraic geometry and complex analysis for young mathematicians of Russia (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 2530, 2017), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2017, 13–14 www.mathnet.ru/php/conference.phtml?confid=1006&option_lang=eng

   2016
109. V. L. Popov, “Rationality of (co)adjoint orbits”, International conference on algebraic geometry, complex analysis and computer algebra (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 03–09, 2016), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2016, 84–85 http://www.mathnet.ru/ConfLogos/805/thesis.pdf

   2015
110. V. L. Popov, “Problema Bassa o trianguliruemosti podgrupp grupp Kremony”, V shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh matematikov Rossii (g. Koryazhma Arkhangelskoi oblasti, Filial Severnogo (Arkticheskogo) federalnogo universiteta im. M. V. Lomonosova, 17–22 avgusta 2015 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2015, 83–87 http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf

   2014
111. V. L. Popov, “Jordaness of the automorphism groups of varieties and manifolds”, Modern Problems of Mathematics and Natural Sciences (Koryazhma, September 15–18, 2014), Northern (Arctic) Federal M. V. Lomonosov University, Koryazhma, 2014, 66–70

   2012
112. V. L. Popov, “Problems for the problem session”, International conference “Groups of Automorphisms in Birational and Affine Geometry” (Levico Terme (Trento), October 29th – November 3rd, 2012), 2012 , 2 pp. http://www.science.unitn.it/cirm/Trento_postersession.html

   2011
113. V. L. Popov, “Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture”, Algebra and Mathematical Logic, International conference commemorating $100$th birthday of professor V. V. Morozov (Kazan, September 25–30, 2011), Kazan Federal Univ., Kazan, 2011, 19

   2010
114. V. Popov, “Discrete complex reflection groups”, Geometry, topology, algebra and number theory, applications, The international conference dedicated to the 120th anniversary of Boris Nikolaevich Delone (1890–1980) (August 16–20, 2010), Steklov Mathematical Institute, Moscow State University, Moscow, 2010, 140

   2007
115. V. L. Popov, “Finite linear groups, lattices, and products of elliptic curves”, International Algebraic Conference Dedicated to the 100th Anniversary of D. K. Faddeev (St. Petersburg, September 24–29, 2007), St. Petersburg State University, St. Petersburg Department of the V. A. Steklov Institute of Mathematics RAS, 2007, 148–149

   2001
116. V. Popov, “Modern developments in invariant theory”, Plenary Address at Österreichische Mathematische Gesellschaft – 15 Kongress, Jahrestagung der Deutschen Mathematikervereinigung (Vienna, 16–22 September), Deutsche Mathematikervereinigung, Österreichische Mathematische Gesellschaft, 2001, 48

   1999
117. Vladimir Popov, “Algebraic groups of automorphisms of polynomial rings”, Colloque International “Théorie des Groupes”. Journées Solstice d'été 1999 (Institut de Mathématiques de Jussieu, 75005 Paris, France, 17, 18, 19 juin 1999), l'Université Paris 7–Denis Diderot, 1999, 15 https://www.imj-prg.fr/grg/archives/Colloques/1999Solstice/

   1998
118. V. L. Popov, “Reductive subgroups of $Aut(A^3)$ and $Aut(A^4)$”, Tagungsbericht 14/1998, Algebraische Gruppen, 05.04–11.04.1998 (Mathematisches Forschungsinstitut Oberwolfach, 05.04–11.04,1998), v. 14, Mathematisches Forschungsinstitut Oberwolfach, 1998, 13–14 https://www.mfo.de/occasion/9815/www_view

   1997
119. Vladimir Popov, “Orbits of parabolic subgroups acting on its unipotent radicals”, Tagungsbericht 42/1997. Einh"ullende Algebren und Darstellungstheorie. 02.11–08.11.1997 (Mathematisches Forschungsinstitut Oberwolfach. 02.11–08.11.1997), v. 42, Mathematisches Forschungsinstitut Oberwolfach, 1997, 13 http://oda.mfo.de/bsz325095604.html

   1989
120. V. L. Popov, “Modules with finite stabilizers of nonzero semisimple elements”, Proc. Intern. Conference commemorating A. I. Mal'cev (Novosibirsk), Math. Inst. Sib. Branch Acad. Sci., Novosibirsk, 1989, 108

   1987
121. V. L. Popov, “Stability of actions of Borel subgroups”, Proc. of the XIX-th All Union Algebraic Conference (L'vov), v. 1, Steklov Math. Inst. Acad. Sci. USSR, Moscow, 1987, 48

   1986
122. V. L. Popov, “On one-dimensional unipotent subgroups of the automorphism group of a polynomial algebra”, Proc. of the X-th All Union Symposium on Groups Theory (Minsk), Math. Isnt. Belorus. Acad. Sci., 1986, 182

   1983
123. V. L. Popov, “On homological dimension of algebras of invariants”, Proc. of the XVII-th All Union Algebraic Conference (Minsk), Math. Inst. Belorus. Acad. Sci, 1983, 152–153

   1980
124. V. L. Popov, “Complex root systems and their Weyl groups”, Proc. of the VII All Union Symposium on Group Theory (Krasnoyarsk), Math. Inst. Sib. Branch Acad. Sci., Krasnoyarsk Univ., Krasnoyarsk, 1980, 91
125. V. L. Popov, “Constructive invariant theory”, Proc. internat. conf. “Young Tableaux and Schur Functions in Algebra and Geometry” (Toruń, Poland), Inst. Math. Acad. Polon. Sci., 1980, 10–11

   1979
126. V. L. Popov, “On Hilbert's fourteenth problem”, Proc. of the XV-th All Union Algebraic Conference (Krasnoyarsk), Math. Inst. Sib. Branch Acad. Sci., Krasnoyarsk Univ., Krasnoyarsk, 1979, 123

   1977
127. V. L. Popov, “Crystallographic groups generated by affine unitary reflection”, Proc. of the XIV-th All Union Algebraic Conference (Novosibirsk), v. 1, Math. Inst. Sib. Branch Acad. Sci., Novosibirsk Univ., Novosibirsk, 1977, 55–56

   1971
128. V. L. Popov, “Regular action of a semisimple algebraic group on an affine factorial algebra”, Proc. of the XI-th All Union Algebraic Colloquium (Kishinev), Math. Istitute Mold. Acad. Sci., Kishinev, 1971, 75

Preprints


   2004
129. N. A'Campo, V. L. Popov, The computer algebra package HNC (Hilbert Null Cone), http://www.geometrie.ch/, Mathematisches Institut Universität Basel, Basel, 2004 , 12 pp.

   2000
130. V. L. Popov, Generators and relations of the affine coordinate rings of connected semisimple algebraic groups, preprint ESI, no. 972, The Erwin Schrödinger Institute for Mathematical Physics, Vienna, 2000 , 12 pp.

   1998
131. V. L. Popov, Discrete complex reflection groups, Workshop on Reflection Groups, January 13–21, SISSA, Trieste, Italy, 1998 , 23 pp.

ArXiv


   2017
132. Vladimir L. Popov, Algebraic groups whose orbit closures contain only finitely many orbits, 2017 , 12 pp., arXiv: 1707.06914v1
133. Vladimir L. Popov, Modality of representations, 2017 , 20 pp., arXiv: 1707.07720v1

-


   1989
134. V. L. Popov, Basic algebraic structures, MIEM Publ., Moscow, 1989 , 42 pp.

   1988
135. V. L. Popov, Analytic Geometry, MIEM Publ., Moscow, 1988 , 44 pp.
136. V. L. Popov, Linear Algebra, MIEM Publ., Moscow, 1988 , 45 pp.; V. L. Popov, 86 papers, Encyclopaedia of Mathematics, Kluwer Academic Publishers, 1987–2002

Personalia


   2014
137. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2013
138. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

   2003
139. V. L. Popov, “Greetings to Seshadri on his 70th birthday”, A Tribute to C. S. Seshadri: Perspectives in Geometry and Representation Theory, Hindustan Book Agency (India), Chennai, 2003, xix

   1997
140. D. V. Alekseevskii, V. O. Bugaenko, G. I. Olshanskii, V. L. Popov, O. V. Schwarzman, “Érnest Borisovich Vinberg (on his 60th birthday)”, Russian Math. Surveys, 52:6 (1997), 1335–1343  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)

Miscellaneous


   2017
141. Gene Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Subseries: Invariant Theory and Algebraic Transformation Groups, Encyclopaedia of Mathematical Sciences, 136, no. VII, 2nd ed., eds. Revaz V. Gamkrelidze, Vladimir L. Popov, Springer, Berlin, 2017 , 316+i-xxii pp. https://link.springer.com/content/pdf/bfm  crossref

   2015
142. H. Derksen, G. Kemper, Computational Invariant Theory, with two Appendices by Vladimir L. Popov, and an Addendum by Norbert A'Campo and Vladimir L. Popov, Encyclopaedia of Mathematical Sciences, subseries “Invariant Theory and Algebraic Transformation Groups”, 130, no. VIII, Second Enlarged Edition, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, Heidelberg, 2015 , 387 pp. DOI:10.1007/978-3-662-48422-7  crossref

   2011
143. D. A. Timashev, Homogeneous spaces and equivariant embeddings, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 138, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 253 pp.  crossref  mathscinet (cited: 52)  zmath
144. H. E. A. E. Campbell, D. L. Wehlau, Modular invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IX, 139, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 233 pp.  crossref  mathscinet (cited: 23)

   2008
145. V. Lakshmibai, K. N. Raghavan, Standard Monomial Theory. Invariant Theoretic Approach, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 137, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2008 , 265 pp.  crossref  mathscinet (cited: 15)  zmath

   2006
146. G. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Encyclopaedia of Mathematical Sciences, Series Invariant Theory and Algebraic Transformation Groups, VII, 136, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2006 , 261 pp.  mathscinet (cited: 89)  zmath

   2005
147. E. Tevelev, Projective duality and homogeneous spaces, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IV, 133, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 250 pp.  mathscinet (cited: 23)  zmath
148. M. Lorenz, Multiplicative invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VI, 135, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 177 pp.  mathscinet (cited: 33)  zmath
149. L. E. Renner, Linear algebraic monoids, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, V, 134, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 246 pp.  mathscinet (cited: 67)  zmath

   2004
150. V. L. Popov (ed.), Algebraic transformation groups and algebraic varieties, Proceedings of the International conference “Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory” held at the Erwin Schrödinger Institute (Vienna, October 22–26, 2001), Invariant Theory and Algebraic Transformation Groups, v. III, Encyclopaedia of Mathematical Sciences, 132, Springer, Berlin, Heidelberg, 2004 , xii+238 pp.  mathscinet (cited: 3)

   2002
151. H. Derksen, G. Kemper, Computational Invariant Theory, Encyclopaedia of Mathematical Sciences, Series Invariant Theory and Algebraic Transformation Groups, 1, 130, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2002 , 268 pp.  mathscinet (cited: 167)  zmath
152. A. Białynicki-Birula, J. B. Carrell, W. M. McGovern, Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, II, 131, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2002 , 242 pp.  mathscinet (cited: 8)  zmath

   2001
153. V. L. Popov, “Preface to the Russian translation of talks at the Séminaire Bourbaki, 1992”, Mathematics. News in Foreign Science, 50, Mir, Moscow, 2001

   1977
154. V. L. Popov, 86 statei, v. 1–5, Matematicheskaya entsiklopediya, Sov. entsikl., M., 1977–1985  hlocal
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