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8 Gubkina St. Moscow,
119991, Russia
Tel.: +7(495) 984 81 41
Fax: +7(495) 984 81 39
Web site: www.mi.ras.ru
E-mail: steklov@mi.ras.ru

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Department of Algebraic Geometry

| Seminars | Publications |
Staff
Orlov Dmitri Olegovich

Doctor Phys.-Math. Sci., Corresponding Member of RAS, Head of Department
office: 324; tel.: +7 (499) 941 03 62, +7 (495) 984 81 41 * 35 04; e-mail: orlov@mi.ras.ru
Personal page: http://www.mi.ras.ru/~orlov
Principal fields of research: Categories of coherent bundles on algebraic manifolds. Derived and triangulated categories. Noncommutative algebraic geometry. Reflection symmetries.
Orlov Dmitri Olegovich
Bondal Aleksei Igorevich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 539; tel.: +7 (499) 135 25 49, +7 (495) 984 81 41 * 36 69; e-mail: bondal@mi.ras.ru
Principal fields of research: Noncommutative algebraic geometry. Algebraic Poisson brackets on projective manifolds. Theory of symplectic groupoids. Poisson Lie groups. Derived categories of coherent bundless on algebraic manifolds. Representations of associative algebras. Theory of t-structures in triangulated categories. Coherent algebras and their homological properties. Foundations of homological and homotopic algebras. Algebraic problems of filed theory. Classical Diophantine problems. Quantum invariants of topological manifolds.
Bondal Aleksei Igorevich
Efimov Aleksandr Ivanovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 538; tel.: +7 (495) 984 81 41 * 37 33; e-mail: efimov@mi.ras.ru
Efimov Aleksandr Ivanovich
Kaledin Dmitrii Borisovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 537; tel.: +7 (499) 135 25 49, +7 (495) 984 81 41 * 36 07; e-mail: kaledin@mi.ras.ru
Kaledin Dmitrii Borisovich
Kuznetsov Aleksandr Gennadievich

Doctor Phys.-Math. Sci., Corresponding Member of RAS, Chief Scientific Researcher
office: 539; tel.: +7 (499) 135 25 49, +7 (495) 984 81 41 * 36 69; e-mail: akuznet@mi.ras.ru
Principal fields of research: Categories of coherent sheaves on algebraic varieties. Derived and triangulated categories. Noncommutative algebraic geometry. Representation theory. Module varieties of coherent sheaves.
Kuznetsov Aleksandr Gennadievich
Prokhorov Yuri Gennadievich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 537; tel.: +7 (499) 941 01 81;
Personal page: http://www.mi.ras.ru/~prokhoro/
Principal fields of research: Algebraic geometry.
Prokhorov Yuri Gennadievich
Przyjalkowski Viktor Vladimirovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 538; tel.: +7 (495) 984 81 41 * 37 33; e-mail: victorprz@mi.ras.ru
Personal page: http://www.mi.ras.ru/~victorprz/
Przyjalkowski  Viktor Vladimirovich
Shokurov Vyacheslav Vladimirovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 409; tel.: +7 (499) 135 25 49, +7 (495) 984 81 41 * 35 33; e-mail: shokurov@mi.ras.ru
Shokurov Vyacheslav Vladimirovich
Shramov Konstantin Aleksandrovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 538; tel.: +7 (495) 984 81 41 * 37 33; e-mail: shramov@mccme.ru
Principal fields of research: Algebraic geometry, birational geometry, Fano varieties, Kahler–Einstein metrics.
Shramov Konstantin Aleksandrovich

Bogomolov Fedor Alekseevich

Doctor Phys.-Math. Sci., Out-Of-Staff Member
tel.: +1 (212) 998 32 43; e-mail: bogomolv@cims.nyu.edu
Principal fields of research: Algebraic geometry. Complex, symplectic and Riemann geometry. Number theory. Topology.
Bogomolov Fedor Alekseevich
Manin Yurii Ivanovich

Doctor Phys.-Math. Sci., Corresponding Member of RAS, Out-Of-Staff Member
e-mail: manin@mpim-bonn.mpg.de
Principal fields of research: Number theory. Algebraic geometry. Algebra. Codes. Complexity. Differential equations. Mathematical physics.
Manin Yurii Ivanovich
Pukhlikov Aleksandr Valentinovich

Doctor Phys.-Math. Sci., Out-Of-Staff Member
e-mail: pukh@mi.ras.ru
Principal fields of research: Higher-dimensional algebraic geometry. Geometric control theory.
Pukhlikov Aleksandr  Valentinovich
Top
Seminars
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
Seminar Chairmen: A. N. Parshin; D. O. Orlov
Steklov Mathematical Institute, room 540 (Gubkina 8)
Homological Methods in Algebraic Geometry
Steklov Mathematical Institute, Room 540 (8 Gubkina)
Iskovskikh Seminar
Steklov Mathematical Institute, room 540

Seminar on Geometry of Algebraic Varieties
Seminar Chairmen: D. Kaledin; A. G. Kuznetsov
A. Bondal Seminar
Seminar Chairman: A. I. Bondal
Recent publications

Steklov Mathematical Institute staff Steklov Mathematical Institute staff and out-of-staff employees
| by years | scientific publications | by types |


1. V. V. Przyjalkowski, “On Calabi–Yau compactifications of toric Landau–Ginzburg models for Fano complete intersections”, Mat. Zametki (to appear)  mathnet

   2017
2. Yuri Prokhorov, Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families, 2017 , 28 pp., arXiv: 1703.10229
3. Yuri Prokhorov, Quasi-simple finite groups of essential dimension $3$, 2017 , 12 pp., arXiv: 1703.10780
4. 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
5. Yu. Prokhorov, M. Zaidenberg, Fano-Mukai fourfolds of genus 10 as compactifications of $C^4$, 2017 , 57 pp., arXiv: 1706.04926
6. Shigefumi Mori, Yuri Prokhorov, Threefold extremal contractions of type (IIA), II, 2017 , 27 pp., arXiv: 1707.05047
7. Yuri Prokhorov, Constantin Shramov, Automorphism groups of compact complex surfaces, 2017 , 29 pp., arXiv: 1708.03566
8. Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank 3”, Mosc. Math. J., 17:3 (2017), 457–509 , arXiv: 1608.00709  mathnet
9. 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
10. 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)
11. V. V. Shokurov, “A criterion for semiampleness”, Izv. Math., 81:4 (2017), 827–887  mathnet  crossref  crossref  isi  elib  scopus
12. V. V. Przyjalkowski, “Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds”, Sb. Math., 208:7 (2017), 992–1013  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 1)
13. Alexander Kuznetsov, Alexander Perry, “Derived categories of cyclic covers and their branch divisors”, Selecta Math. (N.S.), 23:1 (2017), 389–423 , arXiv: 1411.1799  mathnet  crossref  mathscinet (cited: 1)  zmath  isi  elib  scopus
14. A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Mat. Sb., 208:9 (2017), 116–147  mathnet  crossref  elib
15. C. Ciliberto, M. Farnik, A. Küronya, V. Lozovanu, J. Roé, C. Shramov, “Newton-Okounkov bodies sprouting on the valuative tree”, Rendiconti del Circolo Matematico di Palermo Series 2, 66:2 (2017), 161-194 , arXiv: 1602.02074  crossref
16. V. Przyjalkowski, C. Shramov, “Laurent phenomenon for Landau-Ginzburg models of complete intersections in Grassmannians of planes”, Bulletin of the Korean Mathematical Society, 54:5 (2017), 1527-1575 , arXiv: 1409.3729  crossref
17. Alexander I. Efimov, “Derived categories of Grassmannians over integers and modular representation theory”, Adv. Math., 304 (2017), 179–226  mathnet (cited: 1)  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  scopus (cited: 1)
18. Alexander I. Efimov, “Cyclic homology of categories of matrix factorizations”, Int. Math. Res. Not. IMRN, 2017 (Published online) , arXiv: 1212.2859  mathnet  crossref

   2016
19. 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
20. 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
21. 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)
22. A. Kuznetsov, Yu. Prokhorov, C. Shramov, Hilbert schemes of lines and conics and automorphism groups of Fano threefolds, 2016 , arXiv: 1605.02010
23. 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
24. 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
25. Yu. Prokhorov, C. Shramov, p-subgroups in the space Cremona group, 2016 , 26 pp., arXiv: 1610.02990
26. Izv. Math., 80:5 (2016), 884–909  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
27. Yu. Prokhorov, C. Shramov, Finite groups of birational selfmaps of threefolds, 2016 , 9 pp., arXiv: 1611.00789
28. Sovremennye problemy matematiki, mekhaniki i matematicheskoi fiziki. II, Sbornik statei, Tr. MIAN, 294, ed. D. O. Orlov, A. G. Sergeev, MAIK, M., 2016 , 327 pp.  mathnet
29. Dmitri Orlov, “Smooth and proper noncommutative schemes and gluing of DG categories”, Adv. Math., 302 (2016), 59–105 , arXiv: 1402.7364  mathnet (cited: 7)  crossref  mathscinet (cited: 7)  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 3)
30. D. O. Orlov, “Gluing of categories and Krull–Schmidt partners”, Russian Math. Surveys, 71:3 (2016), 594–596 , arXiv: 1606.00332  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus
31. V. M. Buchstaber, S. M. Gusein-Zade, M. È. Kazarian, V. V. Kozlov, S. K. Lando, S. P. Novikov, D. O. Orlov, A. G. Khovanskii, “Viktor Anatol'evich Vassiliev (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1153–1157  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
32. Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov, “Quartic double solids with icosahedral symmetry”, Eur. J. Math., 2:1 (2016), 96–119 , arXiv: 1508.07282  mathnet  crossref  mathscinet (cited: 2)  zmath  elib  scopus (cited: 2)
33. Victor V. Przyjalkowski, Constantin A. Shramov, “Double quadrics with large automorphism groups”, Proc. Steklov Inst. Math., 294 (2016), 154–175  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 1)
34. V. Lunts, V. Przyjalkowski, Landau–Ginzburg Hodge numbers for mirrors of del Pezzo surfaces, 2016 , 19 pp., arXiv: 1607.08880
35. Alexander Kuznetsov, Alexander Polishchuk, “Exceptional collections on isotropic Grassmannians”, J. Eur. Math. Soc. (JEMS), 18:3 (2016), 507–574 , arXiv: 1110.5607  mathnet  crossref  mathscinet (cited: 10)  zmath  isi (cited: 2)  elib  scopus (cited: 3)
36. O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: linear spaces and periods, 2016 , arXiv: 1605.05648
37. Michael Finkelberg, Alexander Kuznetsov, Leonid Rybnikov, Galyna Dobrovolska, “Towards a cluster structure on trigonometric zastava”, Selecta Math. (N.S.), 2016, 1–39 (Published online) , arXiv: 1504.05605  mathnet  crossref  elib  scopus
38. Alexander Kuznetsov, “Küchle fivefolds of type c5”, Math. Z., 284:3 (2016), 1245–1278 , arXiv: 1603.03161  mathnet  crossref  mathscinet  zmath  isi  elib  scopus (cited: 2)
39. Michael Finkelberg, Victor Ginzburg, Andrei Ionov, Alexander Kuznetsov, “Intersection cohomology of the Uhlenbeck compactification of the Calogero–Moser space”, Selecta Math. (N.S.), 22:4 (2016), 2491–2534 , arXiv: 1506.05205  mathnet  crossref  isi  elib  scopus
40. Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin, Jeremy Pecharich, “Quantization of line bundles on lagrangian subvarieties”, Selecta Math. (N.S.), 22:1 (2016), 1–25  mathnet  crossref  mathscinet  zmath  isi  elib  scopus (cited: 2)
41. I. Cheltsov, C. Shramov, Cremona groups and the icosahedron, Monogr. Res. Notes Math., CRC Press, Boca Raton, FL, 2016 , xxi+504 pp.  mathscinet (cited: 2)
42. Yuri Prokhorov, Constantin Shramov, Finite groups of birational selfmaps of threefolds, 2016 , arXiv: 1611.00789
43. Yuri Prokhorov, Constantin Shramov, p-subgroups in the space Cremona group, 2016 , arXiv: 1610.02990
44. Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov, Burkhardt quartic, Barth sextic, and the icosahedron, 2016 , arXiv: 1606.04372
45. Ivan Cheltsov, Constantin Shramov, “Two rational nodal quartic 3-folds”, Q. J. Math., 67:4 (2016), 573–601 , arXiv: 1511.07508  mathnet  crossref  mathscinet  zmath  isi
46. Alexander I. Efimov, “Mac Lane (co)homology of the second kind and Wieferich primes”, J. Algebra, 467 (2016), 80–154 , arXiv: 1506.00257  mathnet  crossref  mathscinet  isi  elib  scopus

   2015
47. 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)
48. 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)
49. 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)
50. Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, Steklov Math. Inst. of RAS, Moscow, 2015 , 76 pp.  mathnet  mathnet  crossref  elib
51. Sovremennye problemy matematiki, mekhaniki i matematicheskoi fiziki, Sbornik statei, Tr. MIAN, 290, ed. D. O. Orlov, A. G. Sergeev, MAIK, M., 2015 , 343 pp.  mathnet
52. D. O. Orlov, “Geometric Realizations of Quiver Algebras”, Proc. Steklov Inst. Math., 290 (2015), 70–83 , arXiv: 1503.03174  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 4)
53. Alexey Bondal, Ilya Zhdanovskiy, “Coherence of relatively quasi-free algebras”, Eur. J. Math., 1:4 (2015), 695–703  mathnet  crossref  mathscinet  zmath  scopus
54. A. Bondal, I. Zhdanovskiy, “Ortogonal pairs and mutually unbiased bases”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye metody. XXVI, Zap. nauchn. sem. POMI, 437, POMI, SPb., 2015, 35–61 , arXiv: 1510.05317  mathnet  mathscinet; J. Math. Sci. (N. Y.), 216:1 (2016), 23–40  crossref  mathscinet  elib  scopus (cited: 1)
55. A. Bondal, A. Bodzenta, Flops and spherical functors, 2015 , 92 pp., arXiv: 1511.00665
56. A. Bondal, I. Zhdanovskiy, Symplectic geometry of unbiasedness and critical points of a potential, 2015 , 14 pp., to appear in: Advanced Studies in Pure Mathematics Advanced Studies in Pure Mathematics Book Series. Japan, Tokyo: the Mathematical Society of Japan by Kinokuniya, Tokyo, 2016, arXiv: 1507.00081
57. I. Cheltsov, V. Przyjalkowski, C. Shramov, “Which quartic double solids are rational?”, 2015, 30 pp., arXiv: 1508.07277
58. V. V. Przyjalkowski, K. A. Shramov, “Laurent Phenomenon for Landau–Ginzburg Models of Complete Intersections in Grassmannians”, Proc. Steklov Inst. Math., 290 (2015), 91–102  mathnet  crossref  crossref  isi (cited: 2)  elib  elib  scopus (cited: 2)
59. Victor Przyjalkowski, Constantin Shramov, “On Hodge numbers of complete intersections and Landau–Ginzburg models”, Int. Math. Res. Not. IMRN, 2015:21 (2015), 11302–11332  mathnet (cited: 3)  crossref  isi (cited: 6)  scopus (cited: 4)
60. C. Ingalls, A. Kuznetsov, “On nodal Enriques surfaces and quartic double solids”, Math. Ann., 361:2 (2015), 107–133  mathnet  crossref  mathscinet (cited: 5)  zmath  isi (cited: 2)  scopus
61. A. G. Kuznetsov, “On Küchle varieties with Picard number greater than 1”, Izv. Math., 79:4 (2015), 698–709  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib  elib  scopus (cited: 2)
62. Alexander Kuznetsov, Valery A. Lunts, “Categorical resolutions of irrational singularities”, Int. Math. Res. Not. IMRN, 2015:13 (2015), 4536–4625  mathnet (cited: 2)  crossref  mathscinet (cited: 5)  zmath  isi (cited: 6)  elib (cited: 2)  scopus (cited: 5)
63. Alexander Kuznetsov, “Height of exceptional collections and Hochschild cohomology of quasiphantom categories”, J. Reine Angew. Math., 708 (2015), 213–243 , arXiv: 1211.4693  mathnet  crossref  mathscinet (cited: 8)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 2)
64. A. Kuznetsov, Calabi–Yau and fractional Calabi–Yau categories, 2015 , arXiv: 1509.07657
65. A. Kuznetsov, Derived categories view on rationality problems, 2015 , arXiv: 1509.09115
66. O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: classification and birationalities, 2015 , arXiv: 1510.05448
67. D. Kaledin, A. Kuznetsov, “Refined blowups”, Math. Res. Lett., 22:6 (2015), 1717–1732  mathnet  crossref  mathscinet  zmath  scopus
68. D. Kaledin, W. Lowen, “Cohomology of exact categories and (non-)additive sheaves”, Adv. Math., 272 (2015), 652–698  mathnet  crossref  mathscinet (cited: 1)  zmath  isi  elib  scopus
69. D. Kaledin, “Cartier Isomorphism for Unital Associative Algebras”, Proc. Steklov Inst. Math., 290 (2015), 35–51  mathnet  crossref  crossref  isi  elib  elib  scopus (cited: 1)
70. D. Kaledin, “Trace theories and localization”, Stacks and categories in geometry, topology, and algebra, Contemp. Math., 643, Amer. Math. Soc., Providence, RI, 2015, 227–262  mathnet  crossref  mathscinet  isi
71. D. Kaledin, “$K$-theory as an Eilenberg-Mac Lane spectrum”, Documenta Mathematica, 2015, Extra vol.: Alexander S. Merkurjev's sixtieth birthday, 335–365  mathnet  mathscinet  zmath
72. Alexander I. Efimov, Leonid Positselski, “Coherent analogues of matrix factorizations and relative singularity categories”, Algebra Number Theory, 9:5 (2015), 1159–1292  mathnet  crossref  mathscinet (cited: 5)  zmath  isi (cited: 9)  elib (cited: 2)  scopus (cited: 8)
73. A. I. Efimov, “Generalized Non-commutative Degeneration Conjecture”, Proc. Steklov Inst. Math., 290 (2015), 1–10  mathnet  crossref  crossref  isi  elib  elib  scopus

   2014
74. 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
75. 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)
76. 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)
77. 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
78. 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)
79. 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)
80. 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)
81. A. Bondal, I. Zhdanovskiy, Orthogonal pairs for Lie algebra sl(6), IPMU14-0296, IPMU, Kashiwa, Japan, 2014 , 89 pp.
82. A. Iliev, L. Katzarkov, V. Przyjalkowski, “Double solids, categories and non-rationality”, Proc. Edinb. Math. Soc. (2), 57:1 (2014), 145–173 , arXiv: 1102.2130  mathnet  crossref  mathscinet (cited: 7)  zmath  isi (cited: 6)  elib (cited: 1)  scopus (cited: 4)
83. V. Przyjalkowski, C. Shramov, Laurent phenomenon for Landau–Ginzburg models of complete intersections in Grassmannians of planes, 2014 , 62 pp., arXiv: 1409.3729
84. V. V. Przyjalkowski, K. A. Shramov, “On weak Landau–Ginzburg models for complete intersections in Grassmannians”, Russian Math. Surveys, 69:6 (2014), 1129–1131  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 3)
85. A. Kuznetsov, “Semiorthogonal decompositions in algebraic geometry”, Proceedings of the International Congress of Mathematicians, Seoul, v. II, 2014, 635–660 , 27 pp., arXiv: 1404.3143
86. A. Kuznetsov, “Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category”, Math. Z., 276:3-4 (2014), 655–672 , arXiv: 1012.3530  mathnet  crossref  mathscinet (cited: 4)  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
87. D. Kaledin, A. Kuznetsov, Refined blowups, 2014 , 15 pp., arXiv: 1410.7121
88. I. Cheltsov, C. Shramov, “Five embeddings of one simple group”, Trans. Amer. Math. Soc., 366:3 (2014), 1289–1331 , arXiv: 0910.1783  mathnet  crossref  mathscinet (cited: 5)  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 5)
89. I. Cheltsov, C. Shramov, “Weakly-exceptional singularities in higher dimensions”, J. Reine Angew. Math., 2014:689 (2014), 201–241 , arXiv: 1111.1920  mathnet  mathscinet  zmath  isi (cited: 1)  scopus
90. A. I. Efimov, “Maximal lengths of exceptional collections of line bundles”, J. London Math. Soc., 90:2 (2014), 350–372  mathnet  crossref  mathscinet (cited: 7)  zmath  isi (cited: 2)  elib  scopus (cited: 2)

   2013
91. 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)
92. 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)
93. 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
94. 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)
95. 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)
96. 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)
97. 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)
98. V. V. Shokurov, Biratsionalnaya geometriya i chislennye invarianty algebraicheskikh mnogoobrazii, Globus, Obschematematicheskii seminar, 6, eds. M. A. Tsfasman, V. V. Prasolov, MTsNMO, M., 2013 , 31 pp.
99. V. V. Shokurov, Log adjunction: effectiveness and positivity, 2013 , 51 pp., arXiv: 1308.5160  adsnasa
100. 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
101. A. Canonaco, D. Orlov, P. Stellari, “Does full imply faithful?”, J. Noncommut. Geom., 7:2 (2013), 357–371 , arXiv: 1101.5931  mathnet  crossref  mathscinet (cited: 2)  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 3)
102. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349 , arXiv: 1209.6183  mathnet  crossref  mathscinet (cited: 11)  zmath  adsnasa  isi (cited: 11)  elib (cited: 7)  scopus (cited: 13)
103. M. Abouzaid, D. Auroux, A. I. Efimov, L. Katzarkov, D. Orlov, “Homological mirror symmetry for punctured spheres”, J. Amer. Math. Soc., 26:4 (2013), 1051–1083 , arXiv: 1103.4322  mathnet  crossref  mathscinet (cited: 13)  zmath  adsnasa  isi (cited: 12)  elib (cited: 6)  scopus (cited: 17)
104. V. Alexeev, D. Orlov, “Derived categories of Burniat surfaces and exceptional collections”, Math. Ann., 357:2 (2013), 743–759 , arXiv: 1208.4348  mathnet  crossref  mathscinet (cited: 13)  zmath  adsnasa  isi (cited: 8)  elib (cited: 7)  scopus (cited: 9)
105. A. I. Bondal, “Operations on $t$-structures and perverse coherent sheaves”, Izv. Math., 77:4 (2013), 651–674  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
106. A. Bondal, I. Zhdanovskiy, Representation theory for system of projectors and discrete Laplace operators, IPMU13-0001, IPMU, Kashiwa, Japan, 2013 , 48 pp.
107. A. Bondal, I. Zhdanovskiy, Coherence of relatively quasi-free algebras, IPMU13-0053, IPMU, Kashiwa, Japan, 2013 , 6 pp.
108. I. Cheltsov, L. Katzarkov, V. Przyjalkowski, “Birational geometry via moduli spaces”, Birational geometry, rational curves, and arithmetic, Simons symposium 2012, Springer, 2013, 93–132 , 34 pp.  crossref  zmath
109. N. O. Ilten, J. Lewis, V. Przyjalkowski, “Toric degenerations of Fano threefolds giving weak Landau–Ginzburg models”, J. Algebra, 374 (2013), 104–121 , arXiv: 1102.4664  mathnet  crossref  mathscinet (cited: 9)  zmath  isi (cited: 10)  elib (cited: 10)  scopus (cited: 12)
110. V. V. Przyjalkowski, “Weak Landau–Ginzburg models for smooth Fano threefolds”, Izv. Math., 77:4 (2013), 772–794  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 6)
111. A. Kuznetsov, A simple counterexample to the Jordan-Hölder property for derived categories, 2013 , 5 pp., arXiv: 1304.0903
112. D. B. Kaledin, “Cyclotomic complexes”, Izv. Math., 77:5 (2013), 855–916  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
113. I. A. Cheltsov, K. A. Shramov, “Sporadic simple groups and quotient singularities”, Izv. Math., 77:4 (2013), 846–854  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus
114. I. Cheltsov, C. Shramov, “Del Pezzo zoo”, Exp. Math., 22:3 (2013), 313–326 , arXiv: 0904.0114  mathnet  crossref  mathscinet (cited: 5)  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
115. A. I. Efimov, Homotopy finiteness of some DG categories from algebraic geometry, 2013 , 58 pp., arXiv: 1308.0135

   2012
116. 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)
117. 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.
118. D. Orlov, “Matrix factorizations for nonaffine LG-models”, Math. Ann., 353:1 (2012), 95–108 , arXiv: 1101.4051  mathnet  crossref  mathscinet (cited: 20)  zmath  adsnasa  isi (cited: 19)  elib (cited: 12)  scopus (cited: 18)
119. D. Orlov, “Landau–Ginzburg models, D-branes, and Mirror Symmetry”, Matemática Contemporânea, 41 (2012), 75–112 , arXiv: 1111.2962  mathnet  mathscinet  zmath  adsnasa
120. L. Katzarkov, V. Przyjalkowski, “Landau–Ginzburg models — old and new”, Proceedings of the Gökova Geometry-Topology Conference 2011 (Gokova, Turkey), International Press, Cambridge, MA, 2012, 97–124
121. A. Kuznetsov, “Instanton bundles on Fano threefolds”, Cent. Eur. J. Math., 10:4 (2012), 1198–1231  mathnet  crossref  mathscinet (cited: 6)  zmath  isi (cited: 6)  elib (cited: 5)  scopus (cited: 7)
122. D. Kaledin, “Universal Witt vectors and the Japanese cocycle”, Moscow Math. J., 12:3 (2012), 593–604  mathnet (cited: 1)  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
123. D. Kaledin, “Homology of infinite loop spaces”, Derived categories in algebraic geometry (Tokyo, 2011), eds. Yujiro Kawamata, EMS, 2012, 111–121  crossref  isi
124. M. Feigin, C. Shramov, “On unitary submodules in the polynomial representations of rational Cherednik algebras”, Int. Math. Res. Not., 2012, no. 15, 3375–3414 , arXiv: 1010.4245  mathnet  crossref  mathscinet (cited: 2)  zmath  isi  elib (cited: 2)  scopus (cited: 2)
125. I. Cheltsov, C. Shramov, “Three embeddings of the Klein simple group into the Cremona group of rank three”, Transform. Groups, 17:2 (2012), 303–350 , arXiv: 1010.1918  mathnet  crossref  mathscinet (cited: 2)  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 6)
126. A. I. Efimov, “Cohomological Hall algebra of a symmetric quiver”, Compos. Math., 148:4 (2012), 1133–1146  mathnet  crossref  mathscinet (cited: 7)  zmath  isi (cited: 7)  elib (cited: 4)  scopus (cited: 5)
127. A. I. Efimov, “Homological mirror symmetry for curves of higher genus”, Adv. Math., 230:2 (2012), 493–530  mathnet  crossref  mathscinet (cited: 20)  zmath  isi (cited: 18)  elib (cited: 9)  scopus (cited: 19)

   2011
128. 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)
129. 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)
130. 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
131. Y. Chen, V. Shokurov, “Strong rational connectedness of toric varieties”, Math. Res. Lett., 18:6 (2011), 1227–1237 , arXiv: 0905.1430  crossref  mathscinet  adsnasa  isi  elib  scopus
132. V. Shokurov, S. R. Choi, “Geography of log models: theory and applications”, Cent. Eur. J. Math., 9:3 (2011), 489–534  crossref  mathscinet (cited: 8)  zmath  isi (cited: 6)  elib (cited: 9)  scopus (cited: 9)
133. D. Orlov, “Formal completions and idempotent completions of triangulated categories of singularities”, Adv. Math., 226:1 (2011), 206–217 , arXiv: 0901.1859  crossref  mathscinet (cited: 27)  zmath  adsnasa  isi (cited: 22)  elib (cited: 20)  scopus (cited: 24)
134. A. I. Efimov, V. A. Lunts, D. O. Orlov, “Deformation theory of objects in homotopy and derived categories III: Abelian categories.”, Adv. Math., 226:5 (2011), 3857–3911 , arXiv: math/0702840  crossref  mathscinet (cited: 4)  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
135. A. Bondal, “From algebras to varieties”, IPMU News, 2011, no. 14, 4–9 http://www.ipmu.jp/webfm_send/506
136. A. Bondal, A. Rosly, Derived categories for complex-analytic manifolds, IPMU11-0117, IPMU, Kashiwa, Japan, 2011 , 16 pp.
137. V. Przyjalkowski, “Hori–Vafa mirror models for complete intersections in weighted projective spaces and weak Landau–Ginzburg models”, Cent. Eur. J. Math., 9:5 (2011), 972–977 , arXiv: 1003.5200  crossref  mathscinet (cited: 7)  zmath  isi (cited: 8)  elib (cited: 8)  scopus (cited: 10)
138. A. Kuznetsov, “Base change for semiorthogonal decompositions”, Compos. Math., 147:3 (2011), 852–876  crossref  mathscinet (cited: 15)  zmath  isi (cited: 16)  elib (cited: 9)  scopus (cited: 14)
139. D. Kaledin, “Derived Mackey functors”, Mosc. Math. J., 11:4 (2011), 723–803 , arXiv: 0812.2519  mathnet (cited: 2)  mathscinet (cited: 4)  zmath  isi  elib (cited: 1)  scopus (cited: 2)
140. I. A. Cheltsov, C. A. Shramov, “On exceptional quotient singularities”, Geom. Topol., 15:4 (2011), 1843–1882  crossref  mathscinet (cited: 11)  zmath  isi (cited: 11)  elib (cited: 10)  scopus (cited: 11)
141. I. Cheltsov, C. Shramov, “Six-dimensional exceptional quotient singularities”, Math. Res. Lett., 18:6 (2011), 1121–1139 , arXiv: 1001.3863  crossref  mathscinet (cited: 5)  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
142. I. Cheltsov, C. Shramov, “Nine-dimensional exceptional quotient singularities exist”, Proceedings of the Gokova Geometry - Topology conference, International Press, 2011, 85–96 , arXiv: 1110.6782
143. A. I. Efimov, “A proof of the Kontsevich-Soǐbel'man conjecture”, Sb. Math., 202:4 (2011), 527–546  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
144. A. I. Efimov, Quantum cluster variables via vanishing cycles, 2011 , 46 pp., arXiv: 1112.3601
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