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Prokhorov Yuri Gennadievich

Publications


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1. A. G. Kuznetsov, Yu. G. Prokhorov, “One-nodal Fano threefolds with Picard number one”, Izv. RAN. Ser. Mat. (to appear)  mathnet  crossref  crossref

   2025
2. Yuri Prokhorov, “Q-Fano threefolds of Fano Index 13”, Higher Dimensional Algebraic Geometry: A Volume in Honor of V. V. Shokurov, London Mathematical Society Lecture Note Series, 489, eds. Christopher Hacon and Chenyang Xu, Cambridge University Press, 2025, 115–129 (to appear) https://www.cambridge.org/us/universitypress/subjects/mathematics/geometry-and-topology/higher-dimensional-algebraic-geometry-volume-honor-v-v-shokurov
3. Sh. Mori, Yu. G. Prokhorov, “Remark on the paper “General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case”, Sbornik: Mathematics, 2021, Volume 212, Issue 3, 351–373”, Mat. Sb. (to appear)  mathnet

   2024
4. Alexander Kuznetsov, Yuri Prokhorov, “Rationality over non-closed fields of Fano threefolds with higher geometric Picard rank”, J. Inst. Math. Jussieu, 23:1 (2024), 207–247 , arXiv: 2103.02934  mathnet  crossref  mathscinet  mathscinet
5. Yuri Prokhorov, “On the birational geometry of $\mathbb Q$-Fano threefolds of large Fano index, I”, Ann. Univ. Ferrara, Sez. VII, Sci. Mat., 70 (2024), 955–985 , arXiv: 2403.18389  mathnet  crossref  mathscinet;
6. Sh. Mori, Yu. Prokhorov, Toward the classification of threefold extremal contractions with one-dimensional fibers, 2024 , 31 pp., arXiv: 2410.03165
7. Yuri Prokhorov, “Markov numbers in arithmetic and geometry”, St. Petersburg mathematicians and their discoveries, eds. Nikita Kalinin, MCCME, 2024, 153-160 "https://sites.google.com/view/spbmath"
8. Yuri Prokhorov, Icosahedron in birational geometry, 2024 , 28 pp., arXiv: 2411.15334
9. Yuri Prokhorov, On the birational geometry of sextic threefold hypersurface in $\mathbf{P}(1,1,2,2,3)$, 2024 , 14 pp., arXiv: 2412.05120

   2023
10. Yuri Prokhorov, “Rationality of Fano threefolds with terminal Gorenstein singularities, II”, Rend. Circ. Mat. Palermo (2), 72 (2023), 1797–1821 , arXiv: 2112.07001  mathnet  crossref  mathscinet  scopus
11. Jérémy Blanc, Ivan Cheltsov, Alexander Duncan, Yuri Prokhorov, “Finite quasisimple groups acting on rationally connected threefolds”, Math. Proc. Camb. Phil. Soc., 174:3 (2023), 531–568 , arXiv: 1809.09226  mathnet  crossref  mathscinet
12. Yu. G. Prokhorov, K. A. Shramov, “Svoistvo Zhordana dlya gruppy Kremony nad konechnym polem”, Algebra, arifmeticheskaya, algebraicheskaya i kompleksnaya geometriya, Sbornik statei. Posvyaschaetsya pamyati akademika Alekseya Nikolaevicha Parshina, Trudy MIAN, 320, MIAN, M., 2023, 298–310 , arXiv: 2111.13367  mathnet  crossref
13. Izv. Math., 87:3 (2023), 488–561  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
14. F. A. Bogomolov, A. M. Vershik, S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarhin, S. V. Konyagin, Vik. S. Kulikov, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, I. A. Panin, V. P. Platonov, V. L. Popov, Yu. G. Prokhorov, A. L. Smirnov, “Alexey Nikolaevich Parshin (obituary)”, Russian Math. Surveys, 78:3 (2023), 549–554  mathnet  crossref  crossref  mathscinet  adsnasa  isi
15. Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Fano threefolds over non-closed fields”, Amer. J. Math., 145:2 (2023), 335–411 , arXiv: 1911.08949  mathnet  crossref  mathscinet;
16. Yuri Prokhorov, “Embeddings of the symmetric groups to the space Cremona group”, Birational Geometry, Kähler–Einstein Metrics and Degenerations, BGKEMD 2019, Springer Proc. Math. Statist., 409, Springer, Cham, 2023, 749–762 , arXiv: 2112.04175  mathnet  crossref  mathscinet;
17. Yuri Prokhorov, Mikhail Zaidenberg, “Affine cones over Fano–Mukai fourfolds of genus 10 are flexible”, The Art of Doing Algebraic Geometry, Trends Math., Birkhäuser, Cham, 2023, 363–383 , arXiv: 2005.12092  mathnet  crossref  mathscinet;
18. Yuri Prokhorov, “Finite groups of birational transformations”, European Congress of Mathematics (Portorož, 20–26 June, 2021), EMS Press, 2023, 413–437 , arXiv: 2108.13325  crossref
19. Yuri Prokhorov, “Effective results in the three-dimensional minimal model program”, Proceedings of the International Congress of Mathematicians (July 6–14, 2022), v. 3, eds. Dmitry Beliaev and Stanislav Smirnov, EMS Press, 2023, 2324–2345 , arXiv: 2108.13052  crossref

   2022
20. V. A. Artamonov, L. A. Bokut', V. V. Borisenko, E. I. Bunina, V. M. Buchstaber, A. È. Guterman, Yu. L. Ershov, M. V. Zaitsev, A. Ya. Kanel'-Belov, A. R. Kemer, A. V. Mikhalev, S. P. Mishchenko, S. P. Novikov, A. Yu. Ol'shanskii, Yu. G. Prokhorov, Yu. P. Razmyslov, A. I. Shafarevich, I. V. Shestakov, “Victor Nikolaevich Latyshev (obituary)”, Russian Math. Surveys, 77:1 (2022), 165–170  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  adsnasa  isi
21. Yu. Prokhorov, “Automorphism groups of prime Fano threefolds of genus twelve”, Appendix to "On the automorphisms of Mukai varieties by Thomas Dedieu and Laurent Manivel, Mathematische Zeitschrift, 300:4 (2022)  crossref  isi
22. Yu. G. Prokhorov, “Chisla Markova v arifmetike i geometrii”, Mathematicians from Saint Petersburg and their theorems, 2022 (to appear) http://mathcenter.spb.ru/nikaan/book/markov_math.pdf
23. Yuri Prokhorov, Mikhail Zaidenberg, “Fano–Mukai fourfolds of genus 10 and their automorphism groups”, Eur. J. Math., 8 (2022), 561–572 , arXiv: 2103.12167  mathnet  crossref  zmath  isi  scopus
24. Yu. G. Prokhorov, “Fano threefolds”, Lekts. Kursy NOC, 31, Steklov Math. Institute of RAS, Moscow, 2022, 3–154 , 154 pp.  mathnet  crossref
25. Jérémy Blanc, Ivan Cheltsov, Alexander Duncan, Yuri Prokhorov, “Birational self-maps of threefolds of (un)-bounded genus or gonality”, Amer. J. Math., 144:2 (2022), 575–597 , arXiv: 1905.00940  mathnet  crossref  mathscinet  zmath  scopus
26. Yuri Prokhorov, “Conic bundle structures on $\mathbb Q$-Fano threefolds”, Electron Res. Arch., 30, Special issue on birational geometry and moduli of projective varieties:5 (2022), 1881–1897 , arXiv: 2111.01003  mathnet  crossref  mathscinet  scopus
27. F. A. Bogomolov, S. O. Gorchinskiy, A. B. Zheglov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, A. N. Parshin, V. L. Popov, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Reid, A. G. Sergeev, D. V. Treschev, A. K. Tsikh, I. A. Cheltsov, E. M. Chirka, “Viktor Stepanovich Kulikov (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 555–557  mathnet  crossref  crossref  mathscinet  adsnasa  isi
28. Yu. G. Prokhorov, K. A. Shramov, “Konechnye gruppy bimeromorfnykh avtomorfizmov neunilineichatykh trekhmernykh kelerovykh mnogoobrazii”, Matem. sb., 213:12 (2022), 86–108 , arXiv: 2110.05825  mathnet  crossref  mathscinet  zmath  adsnasa  isi [Yu. G. Prokhorov, Ñ. A. Shramov, “Finite groups of bimeromorphic selfmaps of non-uniruled Kähler threefolds”, Mat. Sb. , arXiv: 2110.05825  crossref  mathscinet  zmath  isi  scopus]
29. Yu. Prokhorov, “Rationality of $Q$-Fano threefolds of large Fano Index”, Recent Developments in Algebraic Geometry, Lond. Math. Soc. Lect. Note Ser., 478, Cambridge University Press, Cambridge, 2022, 253–274 , arXiv: 1903.07105  mathnet  crossref  mathscinet

   2021
30. Sh. Mori, Yu. G. Prokhorov, “Obschii antikanonicheskii element dlya trekhmernykh ekstremalnykh styagivanii s odnomernymi sloyami: isklyuchitelnyi sluchai”, Matem. sb., 212:3 (2021), 88–111 , arXiv: 2002.10693  mathnet  crossref  mathscinet  zmath  zmath  adsnasa  isi;  crossref  mathscinet  zmath  isi  elib  scopus
31. Ivan Cheltsov, Yuri Prokhorov, “Del Pezzo surfaces with infinite automorphism groups”, Algebr. Geom., 8:3 (2021), 319–357 , arXiv: 2007.14202  mathnet  crossref  mathscinet  zmath  isi  scopus
32. Yu. G. Prokhorov, “Equivariant minimal model program”, Russian Math. Surveys, 76:3 (2021), 461–542  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  scopus
33. V. A. Alexeev, C. Birkar, F. A. Bogomolov, Yu. G. Zarhin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, A. S. Tikhomirov, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 70th birthday)”, Russian Math. Surveys, 76:3 (2021), 553–556  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
34. K. K. Andreev, G. N. Arzhantseva, V. A. Artamonov, V. S. Atabekyan, I. N. Balaba, N. V. Bezverkhny, A. A. Vdovina, V. S. Guba, A. E. Guterman, G. S. Deryabina, N. M. Dobrovolsky, M. V. Zaicev, A. L. Kanunnikov, A. A. Klyachko, O. V. Kulikova, O. V. Markova, V. H. Mikaelyan, M. V. Milentyeva, A. E. Minasyan, K. V. Mikhailovsky, A. V. Mikhalev, A. E. Pankratiev, Yu. G. Prokhorov, Yu. S. Semenov, D. A. Timashev, V. N. Chubarikov, I. A. Chubarov, E. E. Shirshova, “Alexander Yuryevich Olshanskii (to the 75th anniversary)”, Chebyshevskii Sb., 22:2 (2021), 347–365  mathnet  crossref  mathscinet  zmath
35. Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Mukai varieties over non-closed fields”, Rationality of Varieties, Prog. Math., 342, eds. Farkas G., van der Geer G., Shen M., Taelman L., Birkhäuser, Cham, 2021, 249–290 , arXiv: 2003.10761  mathnet  crossref  isi  scopus
36. Ivan Cheltsov, Jihun Park, Yuri Prokhorov, Mikhail Zaidenberg, “Cylinders in Fano varieties”, EMS Surv. Math. Sci., 8:1-2 (2021), 39–105 , arXiv: 2007.14207  mathnet  crossref  mathscinet  zmath  isi  scopus
37. Yuri Prokhorov, Constantin Shramov, “Automorphism groups of compact complex surfaces”, Int. Math. Res. Not. IMRN, 2021:4 (2021), 10490–10520 , arXiv: 1708.03566  mathnet  crossref  zmath  isi  scopus

   2020
38. Yu. G. Prokhorov, K. A. Shramov, “Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds”, Izv. Math., 84:5 (2020), 978–1001  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
39. Yu. G. Prokhorov, C. A. Shramov, “Bounded automorphism groups of compact complex surfaces”, Sb. Math., 211:9 (2020), 1310–1322 , arXiv: 1909.12013  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
40. Yuri Prokhorov, Constantin Shramov, “Automorphism groups of Inoue and Kodaira surfaces”, Asian J. Math., 24:2 (2020), 355–368  mathnet  crossref  mathscinet  zmath  isi  scopus

   2022
41. N. M. Adrianov, V. A. Artamonov, I. N. Balaba, Yu. A. Bahturin, L. A. Bokut', V. V. Borisenko, E. I. Bunina, S. A. Gaifullin, S. T. Glavatsky, I. Z. Golubchik, S. González, A. V. Grishin, A. È. Guterman, N. I. Dubrovin, M. V. Zaicev, E. I. Zel'manov, N. K. Il'ina, A. Ya. Kanel-Belov, A. L. Kanunnikov, E. S. Kislitsyn, A. A. Klyachko, I. B. Kozhukhov, E. M. Kreines, O. V. Kulikova, T. P. Lukashenko, O. V. Markova, C. Martínez, A. A. Mikhalev, A. V. Mikhalev, A. Yu. Ol'shanskii, A. E. Pentus, A. V.A. Petrov, Yu. G. Prokhorov, S. V. Pchelintsev, V. V. Tenzina, D. A. Timashev, A. A. Tuganbaev, I. N. Tumaikin, V. K. Kharchenko, I. A. Chubarov, A. A. Shafarevich, A. I. Shafarevich, I. P. Shestakov, E. E. Shirshova, V. É. Shpil'rain, “Viktor Timofeevich Markov (21.06.1948—15.07.2019)”, J. Math. Sci., 262:5 (2022), 592–602  mathnet  crossref

   2019
42. Sh. Mori, Yu. G. Prokhorov, “Threefold extremal curve germs with one non-Gorenstein point”, Izv. Math., 83:3 (2019), 565–612  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  scopus
43. Yuri G. Prokhorov, “Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I”, Proc. Steklov Inst. Math., 307 (2019), 210–231  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
44. Yu. G. Prokhorov, K. A. Shramov, “Automorphism Groups of Moishezon Threefolds”, Math. Notes, 106:4 (2019), 651–655  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2021
45. Yu. Prokhorov, “Quasi-Simple Finite Groups of Essential Dimension 3”, Journal of Mathematical Sciences, 257:6 (2021), 876–882 , arXiv: 1703.10780  mathnet  crossref  mathscinet  zmath  scopus

   2019
46. Yuri Prokhorov, “Log-canonical degenerations of del Pezzo surfaces in $\mathbb Q$-Gorenstein families”, Kyoto J. Math., 59:4 (2019), 1041–1073 , arXiv: 1703.10229  mathnet  crossref  mathscinet  zmath  isi  scopus

   2018
47. Yu. G. Prokhorov, “The rationality problem for conic bundles”, Russian Math. Surveys, 73:3 (2018), 375–456  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
48. Alexander G. Kuznetsov, Yuri G. Prokhorov, Constantin A. Shramov, “Hilbert schemes of lines and conics and automorphism groups of Fano threefolds”, Jpn. J. Math., 13:1 (2018), 109–185 , arXiv: 1605.02010  mathnet  crossref  mathscinet  isi  scopus
49. Alexander Kuznetsov, Yuri Prokhorov, “Prime Fano threefolds of genus 12 with a $G_m$-action and their automorphisms”, Épijournal de Géom. Algébr., EPIGA, 2 (2018), 3 , 14 pp., arXiv: 1711.08504  mathnet  mathscinet  isi
50. Yuri Prokhorov, Constantin Shramov, “$p$-subgroups in the space Cremona group”, Math. Nachr., 291:8-9 (2018), 1374–1389 , arXiv: 1610.02990  mathnet  crossref  mathscinet  zmath  isi  scopus
51. Yuri Prokhorov, Mikhail Zaidenberg, “Fano–Mukai fourfolds of genus 10 as compactifications of $\mathbb{C}^4$”, Eur. J. Math., 4:3 (2018), 1197–1263 , arXiv: 1706.04926  mathnet  crossref  mathscinet  isi  scopus
52. Yuri Prokhorov, Constantin Shramov, “Finite groups of birational selfmaps of threefolds”, Math. Res. Lett., 25:3 (2018), 957–972 , arXiv: 1611.00789  mathnet  crossref  mathscinet  zmath  isi  scopus
53. S. Mori, Yu. Prokhorov, “Threefold extremal contractions of type (IIA), II”, Geometry and Physics: A Festschrift in Honour of Nigel Hitchin, v. 2, eds. Dancer, A., Andersen, Jørgen. E., Garcia-Prada, O., Oxford University Press, 2018, 623–652 , arXiv: 1707.05047  crossref  zmath
54. I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018), 542–545  mathnet  crossref  zmath

   2017
55. 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  elib  scopus
56. Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank 3”, Mosc. Math. J., 17:3 (2017), 457–509 , arXiv: 1608.00709  mathnet  crossref  mathscinet  isi  scopus
57. Yu. Prokhorov, M. Zaidenberg, “New examples of cylindrical Fano fourfolds”, Adv. Stud. Pure Math., 75, 2017, 443–463 , arXiv: 1507.01748  mathnet  mathscinet  isi
58. Yuri Prokhorov, “A simple proof of the non-rationality of a general quartic double solid”, Bull. Korean Math. Soc., 54:5 (2017), 1619–1625 , arXiv: 1605.02017  mathnet  crossref  mathscinet  isi  scopus

   2016
59. Yuri Prokhorov, Mikhail Zaidenberg, “Examples of cylindrical Fano fourfolds”, Eur. J. Math., 2:1 (2016), 262–282 , arXiv: 1406.6339  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
60. Yu. G. Prokhorov, “Singular Fano threefolds of genus 12”, Sb. Math., 207:7 (2016), 983–1009  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus
61. Yuri Prokhorov, Constantin Shramov, “Jordan property for Cremona groups”, Amer. J. Math., 138:2 (2016), 403–418 , arXiv: 1211.3563  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
62. Yuri G. Prokhorov, “$\mathbb Q$-Fano threefolds of index $7$”, Proc. Steklov Inst. Math., 294 (2016), 139–153  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
63. 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  zmath
64. Izv. Math., 80:5 (2016), 884–909  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2015
65. 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  mathscinet  zmath  isi  elib  scopus
66. 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  zmath  isi  elib  scopus
67. Yu. G. Prokhorov, “On $G$-Fano threefolds”, Izv. Math., 79:4 (2015), 795–808  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
68. Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, Steklov Math. Inst. of RAS, Moscow, 2015 , 76 pp.  mathnet  mathnet  crossref  elib

   2014
69. 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  mathscinet  zmath  scopus
70. 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
71. 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  zmath  isi  elib  scopus
72. 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
73. 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
74. 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  zmath  isi  elib  scopus
75. Yu. Prokhorov, C. Shramov, “Jordan property for groups of birational selfmaps”, Compositio Math., 150:12 (2014), 2054–2072 , arXiv: 1307.1784  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2013
76. 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  zmath  isi  elib  scopus
77. 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  elib  elib  scopus
78. 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  isi  elib
79. Yu. G. Prokhorov, “On birational involutions of $\mathbb P^3$”, Izv. Math., 77:3 (2013), 627–648  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
80. Yuri Prokhorov, “G-Fano threefolds, I”, Adv. Geom., 13:3 (2013), 389–418 , arXiv: 1012.4959  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
81. Yuri Prokhorov, “G-Fano threefolds, II”, Adv. Geom., 13:3 (2013), 419–434 , arXiv: 1101.3854  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
82. 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  zmath  isi  elib  scopus

   2012
83. 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  zmath  isi  scopus
84. 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.

   2011
85. S. Mori, Y. Prokhorov, “Threefold extremal contractions of type IA”, Kyoto J. Math., 51:2 (2011), 393–438 , arXiv: 1004.4188  crossref  mathscinet  zmath  isi  scopus
86. 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  crossref  mathscinet  zmath  isi
87. 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  zmath  isi

   2010
88. 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
89. Paul Hacking, Yuri Prokhorov, “Smoothable del Pezzo surfaces with quotient singularities”, Compositio Math., 146:1 (2010), 169–192 , arXiv: 0808.1550  crossref  mathscinet  zmath  isi  scopus
90. 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  zmath  isi  scopus
91. Yuri Prokhorov, “Q-Fano threefolds of large Fano index. I.”, Doc. Math., J. DMV, 15 (2010), 843–872 DMJDMV/vol-15/26  mathscinet  zmath  isi
92. 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  zmath  isi  scopus

   2009
93. 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
94. Proc. Steklov Inst. Math., 264 (2009), 131–145  mathnet  crossref  mathscinet  isi  elib  elib  scopus
95. Yu. G. Prokhorov, Osobennosti algebraicheskikh mnogoobrazii, MTsNMO, Moskva, 2009 , 128 pp.
96. S. Mori, Y. Prokhorov, “On Q-conic bundles. III”, Publ. Res. Inst. Math. Sci., 45:3 (2009), 787–810 , arXiv: 0809.0489  crossref  mathscinet  zmath  isi  elib  scopus
97. Y. Prokhorov, V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2009), 151–199 , arXiv: math/0606242  crossref  mathscinet  zmath  isi  elib  scopus
98. 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
99. 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  zmath  isi  scopus
100. S. Mori, Y. Prokhorov, “On Q-conic bundles”, Publ. Res. Inst. Math. Sci., 44:2 (2008), 315–369 , arXiv: math/0603736  crossref  mathscinet  zmath  isi  elib  scopus
101. S. Mori, Y. Prokhorov, “On Q-conic bundles. II”, Publ. Res. Inst. Math. Sci., 44:3 (2008), 955–971 , arXiv: 0710.0792  crossref  mathscinet  zmath  isi  elib  scopus
102. 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  zmath  isi
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