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Prokhorov Yuri Gennadievich
(full list of publications)
| by years | scientific publications | by types |


Articles


   2017
1. Yu. G. Prokhorov, “On the Number of Singular Points of Terminal Factorial Fano Threefolds”, Math. Notes, 101:6 (2017), 1068–1073  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
2. Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank 3”, Mosc. Math. J., 17:3 (2017), 457–509 , arXiv: 1608.00709  mathnet
3. Yuri Prokhorov, “A simple proof of the non-rationality of a general quartic double solid”, Bull. Korean Math. Soc., 54:5 (2017), 1619-1625 pdf.medrang.co.kr/kms01/BKMS/54/BKMS-54-5-1619-1625.pdf, arXiv: arXiv:1605.02017  crossref  scopus
4. Yu. Prokhorov, M. Zaidenberg, “New examples of cylindrical Fano fourfolds”, Advanced Studies in Pure Mathematics, Algebraic Varieties and Automorphism Groups, Advanced Studies in Pure Mathematics, 75, Kinokuniya, Tokyo, 2017, 443-463 (to appear)

   2016
5. Yuri Prokhorov, Mikhail Zaidenberg, “Examples of cylindrical Fano fourfolds”, Eur. J. Math., 2:1 (2016), 262–282 , arXiv: 1406.6339  mathnet  crossref  mathscinet  zmath  elib  scopus
6. Yu. G. Prokhorov, “Singular Fano threefolds of genus 12”, Sb. Math., 207:7 (2016), 983–1009  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus
7. Yuri Prokhorov, Constantin Shramov, “Jordan property for Cremona groups”, Amer. J. Math., 138:2 (2016), 403–418 , arXiv: 1211.3563  mathnet  crossref  mathscinet (cited: 3)  zmath  isi (cited: 1)  elib  scopus (cited: 2)
8. Yuri G. Prokhorov, “$\mathbb Q$-Fano threefolds of index $7$”, Proc. Steklov Inst. Math., 294 (2016), 139–153  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus
9. Yuri Prokhorov, Miles Reid, “On Q-Fano threefolds of Fano index 2”, Minimal Models and Extremal Rays (Kyoto 2011), Adv. Stud. Pure Math., 70, eds. J. Kollár, O. Fujino, S. Mukai and N. Nakayama, Mathematical Society of Japan, Kinokuniya, Tokyo, 2016, 397–420 , arXiv: 1203.0852
10. Izv. Math., 80:5 (2016), 884–909  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2015
11. Yu. Prokhorov, “A note on degenerations of del Pezzo surfaces”, Annales de l'institut Fourier, 65:1 (2015), 369–388 , arXiv: 1108.5051  mathnet  crossref  zmath  isi (cited: 1)  elib  scopus (cited: 2)
12. Yuri Prokhorov, “On stable conjugacy of finite subgroups of the plane Cremona group, II”, Michigan Math. J., 64:2 (2015), 293–318 , arXiv: 1308.5698  mathnet  crossref  mathscinet (cited: 2)  isi (cited: 2)  elib  scopus (cited: 2)
13. Yu. G. Prokhorov, “On $G$-Fano threefolds”, Izv. Math., 79:4 (2015), 795–808  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2014
14. T. Kishimoto, Yu. Prokhorov, M. Zaidenberg, “Unipotent group actions on del Pezzo cones”, Algebr. Geom., 1:1 (2014), 46–56 , arXiv: 1212.4479  mathnet  crossref  crossref  mathscinet (cited: 6)  zmath
15. Yu. Prokhorov, “Del Pezzo fibrations”, Appendix to “Five embeddings of one simple group” by I. Cheltsov and C. Shramov, Trans. Amer. Math. Soc., 366:3 (2014), 1289–1331  scopus (cited: 5)
16. S. Mori, Yu. Prokhorov, “3-fold extremal contractions of types (IC) and (IIB)”, Proc. Edinb. Math. Soc. (2), 57:1 (2014), 231–252 , arXiv: 1106.5180  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
17. Yu. Prokhorov, “2-elementary subgroups of the space Cremona group”, Automorphisms in birational and affine geometry (Levico Terme, Italy, October 2012), Springer Proceedings in Mathematics & Statistics, 79, eds. I. Cheltsov and C. Ciliberto and H. Flenner and J. McKernan and Y. G. Prokhorov and M. Zaidenberg, Springer, 2014, 215–229 , arXiv: 1506.07873  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
18. T. Kishimoto, Yu. Prokhorov, M. Zaidenberg, “Affine cones over Fano threefolds and additive group actions”, Osaka J. Math., 51:4 (2014), 1093–1113 http://projecteuclid.org/euclid.ojm/1414761913, arXiv: 1106.1312  mathnet  mathscinet (cited: 5)  zmath  isi (cited: 3)  scopus (cited: 4)
19. Yu. Prokhorov, C. Shramov, “Jordan property for groups of birational selfmaps”, Compositio Math., 150:12 (2014), 2054–2072 , arXiv: 1307.1784  mathnet  crossref  mathscinet (cited: 2)  zmath  isi (cited: 1)  elib  scopus (cited: 1)

   2013
20. F. Bogomolov, Yu. Prokhorov, “On stable conjugacy of finite subgroups of the plane Cremona group, I”, Cent. Eur. J. Math., 11:12 (2013), 2099–2105 , arXiv: 1306.3045  mathnet  crossref  mathscinet (cited: 4)  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 4)
21. Yu. G. Prokhorov, “Fano threefolds of large Fano index and large degree”, Sb. Math., 204:3 (2013), 347–382  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 1)
22. Yu. G. Prokhorov, “On birational involutions of $\mathbb P^3$”, Izv. Math., 77:3 (2013), 627–648  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)
23. Yuri Prokhorov, “G-Fano threefolds, I”, Adv. Geom., 13:3 (2013), 389–418 , arXiv: 1012.4959  mathnet  crossref  mathscinet (cited: 5)  zmath  isi (cited: 7)  elib (cited: 9)  scopus (cited: 8)
24. Yuri Prokhorov, “G-Fano threefolds, II”, Adv. Geom., 13:3 (2013), 419–434 , arXiv: 1101.3854  mathnet  crossref  mathscinet (cited: 3)  zmath  isi (cited: 3)  elib (cited: 6)  scopus (cited: 4)
25. T. Kishimoto, Y. Prokhorov, M. Zaidenberg, “$G_a$-actions on affine cones”, Transform. Groups, 18:4 (2013), 1137–1153 , arXiv: 1212.4249  mathnet  crossref  mathscinet (cited: 6)  zmath  isi (cited: 6)  elib (cited: 6)  scopus (cited: 10)

   2012
26. Yuri Prokhorov, “Simple finite subgroups of the Cremona group of rank 3”, J. Algebraic Geom., 21:3 (2012), 563–600 , arXiv: 0908.0678  mathnet  crossref  mathscinet (cited: 21)  zmath  isi (cited: 22)  scopus (cited: 25)

   2011
27. S. Mori, Y. Prokhorov, “Threefold extremal contractions of type IA”, Kyoto J. Math., 51:2 (2011), 393–438 , arXiv: 1004.4188  crossref  mathscinet (cited: 3)  zmath  isi (cited: 5)  scopus (cited: 5)
28. T. Kishimoto, Yuri Prokhorov, M. Zaidenberg, “Group actions on affine cones”, Peter Russell's Festschrift, Proceedings of the conference on Affine Algebraic Geometry held in Professor Russell's honour, Affine algebraic geometry: The Russell Festschrift. Outgrow of an international conference, McGill University, Montreal, QC, Canada. June 1–5, 2009, held in honour of Professor Peter Russell on the occasion of his 70th birthday (McGill Univ., Montreal., 1–5 June 2009), Centre de Recherches Mathématiques CRM Proc. and Lect. Notes, 54, Amer. Math. Soc., Providence, RI, 2011, 123–163 , arXiv: 0905.4647  mathscinet (cited: 10)  zmath  isi (cited: 12)
29. Yuri Prokhorov, “p-elementary subgroups of the Cremona group of rank 3”, Classification of algebraic varieties, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, 327–338 , arXiv: 0909.3302  crossref  mathscinet (cited: 8)  zmath  isi

   2010
30. Paul Hacking, Yuri Prokhorov, “Smoothable del Pezzo surfaces with quotient singularities”, Compositio Math., 146:1 (2010), 169–192 , arXiv: 0808.1550  crossref  mathscinet (cited: 17)  zmath  isi (cited: 19)  scopus (cited: 19)
31. Ming-chang Kang, Yuri Prokhorov, “Rationality of three-dimensional quotients by monomial actions”, J. Algebra, 324:9 (2010), 2166–2197 , arXiv: 0910.1148  crossref  mathscinet (cited: 6)  zmath  isi (cited: 6)  scopus (cited: 6)
32. Yuri Prokhorov, “Q-Fano threefolds of large Fano index. I.”, Doc. Math., J. DMV, 15 (2010), 843–872 DMJDMV/vol-15/26  mathscinet (cited: 5)  zmath  isi (cited: 8)
33. Yuri Prokhorov, “Fields of invariants of finite linear groups”, Cohomological and geometric approaches to rationality problems, Progr. Math., 282, Birkhäuser Boston Inc., Boston, MA, 2010, 245–273 , arXiv: 0707.1738  crossref  mathscinet (cited: 11)  zmath  isi (cited: 6)

   2009
34. Proc. Steklov Inst. Math., 264 (2009), 131–145  mathnet  crossref  mathscinet  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
35. S. Mori, Y. Prokhorov, “On Q-conic bundles. III”, Publ. Res. Inst. Math. Sci., 45:3 (2009), 787–810 , arXiv: 0809.0489  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
36. Y. Prokhorov, V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2009), 151–199 , arXiv: math/0606242  crossref  mathscinet (cited: 35)  zmath  isi (cited: 35)  elib (cited: 32)  scopus (cited: 35)
37. Yu. G. Prokhorov, “Mnogoobraziya Q-Fano bolshoi stepeni”, Sovr. probl. mat. mekh., 4, Mosk. gos. univ. im. M. V. Lomonosova, mekh-mat. fak., 2009, 105–115

   2008
38. Huah Chu, Shou-Jen Hu, Ming-chang Kang, Yuri Prokhorov, “Noether's problem for groups of order 32”, J. Algebra, 320:7 (2008), 3022–3035  crossref  mathscinet (cited: 19)  zmath  isi (cited: 21)  scopus (cited: 21)
39. S. Mori, Y. Prokhorov, “On Q-conic bundles”, Publ. Res. Inst. Math. Sci., 44:2 (2008), 315–369 , arXiv: math/0603736  crossref  mathscinet (cited: 18)  zmath  isi (cited: 19)  elib (cited: 16)  scopus (cited: 17)
40. S. Mori, Y. Prokhorov, “On Q-conic bundles. II”, Publ. Res. Inst. Math. Sci., 44:3 (2008), 955–971 , arXiv: 0710.0792  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
41. Yuri Prokhorov, “Gap conjecture for 3-dimensional canonical thresholds”, J. Math. Sci. Univ. Tokyo, 15:4 (2008), 449–459 jms150402.pdf, arXiv: 0806.3811  mathscinet (cited: 1)  zmath  isi (cited: 1)

   2007
42. Yu. G. Prokhorov, “The degree of $\mathbb Q$-Fano threefolds”, Sb. Math., 198:11 (2007), 1683–1702 , arXiv: math/0610026  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 2)
43. Yu. G. Prokhorov, “On Fano–Enriques threefolds”, Sb. Math., 198:4 (2007), 559–574  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 2)

   2005
44. Yu. G. Prokhorov, “On the degree of Fano threefolds with canonical Gorenstein singularities”, Sb. Math., 196:1 (2005), 77–114  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 13)  elib (cited: 13)  elib (cited: 13)  scopus (cited: 8)
45. Yuri Prokhorov, “On semistable Mori conic bundles”, J. Math. Sci. (New York), 131:6 (2005), 6140–6147  crossref  mathscinet (cited: 1)  zmath  scopus (cited: 1)

   2004
46. A. B. Verevkin, Yu. G. Prokhorov, “Teorema Rimana–Rokha na poverkhnostyakh del Petstso s logterminalnymi osobennostyami”, Fundament. i prikl. matem., 10:4 (2004), 35–42  mathnet (cited: 1)  mathscinet (cited: 2)  zmath  elib; A. B. Verevkin, Yu. G. Prokhorov, “The Riemann–Roch theorem on surfaces with log terminal singularities”, J. Math. Sci., 140:2 (2007), 200–205  crossref  mathscinet  zmath  elib (cited: 2)  scopus (cited: 2)
47. Yu. G. Prokhorov, “On semistable Mori contractions”, Izv. Math., 68:2 (2004), 365–374  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
48. James McKernan, Yuri Prokhorov, “Threefold thresholds”, Manuscripta Math., 114:3 (2004), 281–304 , arXiv: math/0304152  crossref  mathscinet (cited: 15)  zmath  isi (cited: 16)  scopus (cited: 14)
49. Yuri Prokhorov, “A remark on Fano threefolds with canonical Gorenstein singularities”, The Fano Conference, Papers of the conference organized to commemorate the 50th anniversary of the death of Gino Fano (1871–1952) (Torino, Italy, September 29–October 5, 2002), eds. Collino, Alberto et al., Univ. Torino, Turin, 2004, 647–657 , arXiv: math/0312012  mathscinet (cited: 4)  zmath

   2003
50. Yu. G. Prokhorov, “An Application of the Canonical Bundle Formula”, Proc. Steklov Inst. Math., 241 (2003), 195–201  mathnet  mathscinet  zmath
51. Yu. G. Prokhorov, “On the Zariski Decomposition Problem”, Proc. Steklov Inst. Math., 240 (2003), 37–65  mathnet  mathscinet  zmath
52. Yuri Prokhorov, “Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces”, J. Math. Sci. (New York), 115:3 (2003), 2378–2394 , arXiv: math/0105129  crossref  mathscinet (cited: 2)  zmath
53. Yuri Prokhorov, “E1-blowing ups of terminal singularities”, J. Math. Sci. (New York), 115:3 (2003), 2395–2427  crossref  mathscinet (cited: 3)  zmath

   2002
54. Yu. G. Prokhorov, “A remark on the resolution of three-dimensional terminal singularities”, Russian Math. Surveys, 57:4 (2002), 815–816  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
55. Yuri Prokhorov, “On log canonical thresholds. II”, Comm. Algebra, 30:12 (2002), 5809–5823 , arXiv: math/0104251  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   2001
56. Yu. G. Prokhorov, V. V. Shokurov, “The first main theorem on complements: from global to local”, Izv. Math., 65:6 (2001), 1169–1196  mathnet  crossref  crossref  mathscinet  zmath  elib (cited: 6)  scopus (cited: 4)
57. Yu. G. Prokhorov, “On the classification of Mori contractions: the case of an elliptic curve”, Izv. Math., 65:1 (2001), 75–84  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus
58. Yu. G. Prokhorov, “Complements on conic fibrations. I”, J. Math. Sci. (New York), 106:5 (2001), 3353–3364  mathnet  crossref  mathscinet  zmath  scopus
59. Yu. G. Prokhorov, “On the Mori classification of conic bundles”, J. Math. Sci. (New York), 106:5 (2001), 3340–3352  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
60. Yu. G. Prokhorov, “O suschestvovanii khoroshikh divizorov na mnogoobraziyakh Fano koindeksa 3. II”, Algebraicheskaya geometriya – 2, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 24, VINITI, M., 2001, 157–175  mathnet  mathscinet (cited: 1)  zmath; Yu. G. Prokhorov, “On the existence of good divisors on Fano manifolds of coindex 3. II”, J. Math. Sci. (New York), 85:4 (1997), 2115–2127  crossref  mathscinet  zmath  scopus (cited: 1)
61. Shihoko Ishii, Yuri Prokhorov, “Hypersurface exceptional singularities”, Internat. J. Math., 12:6 (2001), 661–687 , arXiv: math/9910123  crossref  mathscinet (cited: 10)  zmath  isi (cited: 4)  scopus (cited: 6)
62. Yuri Prokhorov, “On log canonical thresholds”, Comm. Algebra, 29:9 (2001), 3961–3970 , arXiv: math/0102090  crossref  mathscinet (cited: 4)  zmath  isi (cited: 4)  scopus (cited: 4)
63. Yuri Prokhorov, “On a conjecture of Shokurov: characterization of toric varieties”, Tohoku Math. J. (2), 53:4 (2001), 581–592 , arXiv: math/0001143  crossref  mathscinet (cited: 2)  zmath  isi (cited: 1)  scopus (cited: 1)

   2000
64. Yu. G. Prokhorov, “Sparseness of Exceptional Quotient Singularities”, Math. Notes, 68:5 (2000), 664–667  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 4)
65. Yu. Prokhorov, “Boundedness of nonbirational extremal contractions”, Internat. J. Math., 11:3 (2000), 393–411 , arXiv: math/9901004  crossref  mathscinet (cited: 6)  zmath  isi (cited: 2)  scopus (cited: 3)
66. Yuri Prokhorov, “Blow-ups of canonical singularities”, Algebra, Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh (Moscow, Russia, May 25-30, 1998), eds. Bahturin, Yu., de Gruyter, Berlin, 2000, 301–317 , arXiv: 9810097  mathscinet (cited: 23)  zmath
67. Yu. G. Prokhorov, “O logkanonicheskikh porogakh v razmernosti tri”, Universalnaya algebra i ee prilozheniya, Trudy uchastnikov mezhdunarodnogo seminara, posvyaschennogo pamyati professora Moskovskogo gosudarstvennogo universiteta L. A. Skornyakova (Volgograd 6–11 sentyabrya 1999), Peremena, Volgograd, 2000, 250–256

   1999
68. D. Markushevich, Y. Prokhorov, “Exceptional quotient singularities”, Amer. J. Math., 121:6 (1999), 1179–1189 , arXiv: math/9806029  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 13)
69. D. G. Markushevich, Yu. G. Prokhorov, “Klein's group defines an exceptional singularity of dimension 3”, J. Math. Sci. (New York), 94:1 (1999), 1060–1067 , arXiv: math/9805004  crossref  mathscinet (cited: 3)  zmath  scopus (cited: 2)
70. Yuri Prokhorov, “On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point and a nonsingular base surface”, J. Math. Sci. (New York), 95:1 (1999), 1986–1995 , arXiv: alg-geom/9702011  crossref  mathscinet (cited: 2)  zmath  scopus
71. Yuri Prokhorov, “Mori conic bundles with a reduced log-terminal boundary”, J. Math. Sci. (New York), 94:1 (1999), 1051–1059 , arXiv: math/9802120  crossref  mathscinet (cited: 4)  zmath  scopus (cited: 4)

   1997
72. Yu. G. Prokhorov, “On the existence of complements of the canonical divisor for Mori conic bundles”, Sb. Math., 188:11 (1997), 1665–1685 , arXiv: alg-geom/9608007  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 5)
73. Yuri Prokhorov, “On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point”, Birational algebraic geometry (Baltimore, MD, 1996), Contemp. Math., 207, Amer. Math. Soc., Providence, RI, 1997, 119–141 , arXiv: alg-geom/9605002  crossref  mathscinet (cited: 4)  zmath

   1995
74. Yu. G. Prokhorov, “On general elephant problem for three-dimensional $\mathbf{Q}$-Fano fiber spaces over a surface”, Fundam. Prikl. Mat., 1:1 (1995), 263–280  mathnet  mathscinet  zmath  elib
75. Yu. G. Prokhorov, “On algebraic threefolds whose hyperplane sections are Enriques surfaces”, Sb. Math., 186:9 (1995), 1341–1352  mathnet  crossref  mathscinet  zmath  isi (cited: 5)
76. Yu. G. Prokhorov, “The existence of good divisors of Fano varieties of coindex 3”, Proc. Steklov Inst. Math., 208 (1995), 234–243  mathnet  mathscinet  zmath

   1994
77. Yu. G. Prokhorov, “Suschestvovanie gladkogo divizora na chetyrekhmernykh mnogoobraziyakh Fano indeksa 2”, Matem. sb., 185:9 (1994), 139–152  mathnet  mathscinet (cited: 1)  zmath; Yu. G. Prokhorov, “The existence of a smooth divisor on Fano 4-folds of index 2”, Russian Acad. Sci. Sb. Math., 83:1 (1995), 119–131  crossref  mathscinet  zmath  isi (cited: 1)
78. Yuri Prokhorov, “Compactifications of $\mathbf C^4$ of index 3”, Algebraic geometry and its applications (Yaroslavl, 1992), Aspects Math., E25, Vieweg, 1994, 159–169  mathscinet (cited: 1)  zmath

   1993
79. Yu. G. Prokhorov, “Rationality constructions of some Fano fourfolds of index 2”, Moscow Univ. Math. Bull., 48:2 (1993), 32–35  mathscinet  zmath  isi

   1992
80. Yu. G. Prokhorov, “Invariantnye podmnogoobraziya v prostranstvakh binarnykh form”, Algebra i analiz, 4:5 (1992), 172–180 aa350.pdf  mathnet (cited: 1)  mathscinet  zmath; Yu. G. Prokhorov, “Invariant subvarieties in spaces of binary forms”, St. Petersburg Math. J., 4:5 (1993), 981–988  mathscinet  zmath
81. I. Ya. Kolpakov-Miroshnichenko, Yu. G. Prokhorov, “Rationality construction of fields of invariants of some finite four-dimensional linear groups associated with Fano threefolds”, Math. Notes, 51:1 (1992), 74–76  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
82. Yu. G. Prokhorov, “Invariant submanifolds in spaces of binary forms”, Russian Math. Surveys, 47:4 (1992), 224–225  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1991
83. Yu. G. Prokhorov, “Mnogoobraziya Fano roda 12 i kompaktifikatsii $\mathbb C^3$”, Algebra i analiz, 3:4 (1991), 162–170 aa271.pdf  mathnet (cited: 1)  mathscinet (cited: 1)  zmath; Yu. G. Prokhorov, “Fano threefolds of genus 12 and compactifications of $\mathbb C^3$”, St. Petersburg Math. J., 3:4 (1992), 855–864  mathscinet  zmath
84. I. Ya. Kolpakov-Miroshnichenko, Yu. G. Prokhorov, “Ratsionalnost polei invariantov nekotorykh chetyrekhmernykh lineinykh grupp i ekvivariantnaya konstruktsiya, svyazannaya s kubikoi Segre”, Matem. sb., 182:10 (1991), 1430–1445  mathnet (cited: 2)  mathscinet (cited: 4)  zmath  adsnasa; I. Ya. Kolpakov-Miroshnichenko, Yu. G. Prokhorov, “Rationality of fields of invariants of some four-dimensional linear groups, and an equivariant construction related to the Segre cubic”, Math. USSR-Sb., 74:1 (1993), 169–183  crossref  mathscinet  zmath  isi (cited: 4)

   1990
85. Yu. G. Prokhorov, “Automorphism groups of Fano manifolds”, Russian Math. Surveys, 45:3 (1990), 222–223  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)
86. Yu. G. Prokhorov, “Exotic Fano varieties”, Moscow Univ. Math. Bull., 45:3 (1990), 36–38  mathscinet  zmath  isi

   1987
87. I. Ya. Kolpakov-Miroshnichenko, Yu. G. Prokhorov, “Rationality of the field of invariants of a faithful four-dimensional representation of the icosahedral group”, Math. Notes, 41:4 (1987), 270–272  mathnet  crossref  mathscinet  zmath  isi  scopus

Books


   2015
88. Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, Steklov Math. Inst. of RAS, Moscow, 2015 , 76 pp.  mathnet  mathnet  crossref  elib

   2009
89. Yu. G. Prokhorov, Osobennosti algebraicheskikh mnogoobrazii, MTsNMO, Moskva, 2009 , 128 pp.

   2007
90. Yu. G. Prokhorov, Ellipticheskie krivye i kriptografiya. Semestr 1, Izdatelstvo tsentra prikladnykh issledovanii pri mekhaniko-matematicheskom fakultete MGU, Moskva, 2007 , 144 pp.

   2001
91. Yuri Prokhorov, Lectures on complements on log surfaces, MSJ Memoirs, 10, Mathematical Society of Japan, Tokyo, 2001 , viii+130 pp., arXiv: math/9912111  mathscinet (cited: 38)  zmath

   1999
92. V. A. Iskovskikh, Y. G. Prokhorov, Fano varieties, Algebraic geometry V, Encyclopaedia Math. Sci., Springer, Springer, Berlin, 1999 , 247 pp.  mathscinet (cited: 9)  zmath

Proceedings


   2014
93. Yu. Prokhorov, “On birational involutions of $P^3$”, abstracts of talks, Algebraic varieties and moduli spaces (with emphasis on self maps) (Research Institute for Mathematical Sciences, Kyoto University, JAPAN, March 4–7, 2014), eds. Mukai, Shigeru, RIMS, 2014, 35–36

Preprints


   1995
94. Yu. Prokhorov, On Q-Fano fiber spaces with two-dimensional base, 3733.pdf, Max Planck Institute for Mathematics, Bonn, 1995 , 30 pp.

ArXiv


   2017
95. Yuri Prokhorov, Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families, 2017 , 28 pp., arXiv: 1703.10229
96. Yuri Prokhorov, Quasi-simple finite groups of essential dimension $3$, 2017 , 12 pp., arXiv: 1703.10780
97. Yu. Prokhorov, M. Zaidenberg, Fano-Mukai fourfolds of genus 10 as compactifications of $C^4$, 2017 , 57 pp., arXiv: 1706.04926
98. Shigefumi Mori, Yuri Prokhorov, Threefold extremal contractions of type (IIA), II, 2017 , 27 pp., arXiv: 1707.05047
99. Yuri Prokhorov, Constantin Shramov, Automorphism groups of compact complex surfaces, 2017 , 29 pp., arXiv: 1708.03566

   2016
100. A. Kuznetsov, Yu. Prokhorov, C. Shramov, Hilbert schemes of lines and conics and automorphism groups of Fano threefolds, 2016 , arXiv: 1605.02010
101. Yu. Prokhorov, C. Shramov, p-subgroups in the space Cremona group, 2016 , 26 pp., arXiv: 1610.02990
102. Yu. Prokhorov, C. Shramov, Finite groups of birational selfmaps of threefolds, 2016 , 9 pp., arXiv: 1611.00789

   2005
103. P. Hacking, Yu. Prokhorov, Degenerations of del Pezzo surfaces I, 2005 , 14 pp., arXiv: math/0509529

Научно-популярные и образовательные материалы


   2012
104. I. Arzhantsev, V. Batyrev, E. Bunina, E. Golod, A. Guterman, M. Zaitsev, A. Zobnin, A. Klyachko, V. Markov, A. Olshanskii, E. Porshnev, Yu. Prokhorov, Studencheskie olimpiady po algebre na mekhmate MGU, MTsNMO, Moskva, 2012 , 72 pp.

Personalia


   2013
105. F. A. Bogomolov, F. Kataneze, Yu. I. Manin, S. Yu. Nemirovskii, V. V. Nikulin, A. N. Parshin, V. V. Przhiyalkovskii, Yu. G. Prokhorov, M. Teikher, A. S. Tikhomirov, V. M. Kharlamov, I. A. Cheltsov, I. R. Shafarevich, V. V. Shokurov, “Viktor Stepanovich Kulikov (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 68:2(410) (2013), 205–207  mathnet  crossref  mathscinet  zmath  adsnasa  elib

   2010
106. F. A. Bogomolov, Yu. G. Zarhin, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 60th birthday)”, Russian Math. Surveys, 65:6 (2010), 1193–1198  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

   2009
107. F. A. Bogomolov, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (obituary)”, Russian Math. Surveys, 64:5 (2009), 939–946  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   1999
108. A. I. Kostrikin, V. S. Kulikov, Yu. I. Manin, V. V. Nikulin, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, A. N. Tyurin, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (on his 60th birthday)”, Russian Math. Surveys, 54:4 (1999), 863–868  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
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