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Prokhorov Yuri Gennadievich
(recent publications)
| by years | scientific publications | by types |



   2019
1. Sh. Mori, Yu. G. Prokhorov, “Threefold extremal curve germs with one non-Gorenstein point”, Izv. Math., 83:3 (2019), 565–612  mathnet  crossref  crossref  adsnasa  isi  elib
2. Yu. Prokhorov, Rationality of Q-Fano threefolds of large Fano index, 2019 , 21 pp., arXiv: 1903.07105
3. Jérémy Blanc, Ivan Cheltsov, Alexander Duncan, Yuri Prokhorov, Birational self-maps of threefolds of (un)-bounded genus or gonality, 2019 , 17 pp., arXiv: 1905.00940
4. Yu. G. Prokhorov, “Rationality of Fano threefolds with terminal Gorenstein singularities, I”, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Tr. Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019 (to appear)  mathnet  crossref
5. Yu. G. Prokhorov, K. A. Shramov, “Automorphism Groups of Moishezon Threefolds”, Math. Notes, 106:4 (2019), 651–655  mathnet  crossref  crossref  isi  scopus
6. Yu. Prokhorov, C. Shramov, Bounded automorphism groups of compact complex surfaces, 2019 , 14 pp., arXiv: 1909.12013
7. Yu. G. Prokhorov, “Kvaziprostye konechnye gruppy suschestvennoi razmernosti 3”, Fundament. i prikl. matem., 22:4 (2019), 189–199 http://mech.math.msu.su/~fpm/rus/k19/k194/k19412g.htm, arXiv: 1703.10780  mathnet
8. Yu. Prokhorov, C. Shramov, Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds, 2019 , 28 pp., arXiv: 1910.12334
9. Yu. Prokhorov, “Log-canonical degenerations of del Pezzo surfaces in Q-Gorenstein families”, Kyoto J. Math., 59:4 (2019), 1041–1073 , arXiv: 1703.10229  crossref  isi
10. A. Kuznetsov, Yu. Prokhorov, Rationality of Fano threefolds over non-closed fields, 2019 , 58 pp., arXiv: arXiv:1911.08949

   2018
11. Yu. G. Prokhorov, “The rationality problem for conic bundles”, Russian Math. Surveys, 73:3 (2018), 375–456  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus (cited: 1)
12. 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 (cited: 10)  scopus (cited: 6)
13. 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  isi (cited: 1)
14. Yuri Prokhorov, Constantin Shramov, “$p$-subgroups in the space Cremona group”, Math. Nachr., 291:8-9 (2018), 1374–1389 , arXiv: 1610.02990  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 4)  scopus (cited: 2)
15. 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 (cited: 2)  scopus (cited: 2)
16. J. Blanc, I. Cheltsov, A. Duncan, Y. Prokhorov, Finite quasisimple groups acting on rationally connected threefolds, 2018 , 41 pp., arXiv: 1809.09226
17. 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  isi (cited: 6)  scopus (cited: 3)
18. 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
19. Yu. Prokhorov, C Shramov, Automorphism groups of Inoue and Kodaira surfaces, 2018 , 14 pp., arXiv: 1812.02400
20. 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

   2017
21. 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 (cited: 6)  elib  scopus (cited: 4)
22. Yuri Prokhorov, Constantin Shramov, Automorphism groups of compact complex surfaces, 2017 , 29 pp., arXiv: 1708.03566
23. Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank 3”, Mosc. Math. J., 17:3 (2017), 457–509 , arXiv: 1608.00709  mathnet (cited: 7)  crossref  mathscinet  isi (cited: 10)  scopus (cited: 9)
24. Yu. Prokhorov, M. Zaidenberg, “New examples of cylindrical Fano fourfolds”, Adv. Stud. Pure Math., 75, 2017, 443–463 , arXiv: 1507.01748  mathnet  mathscinet  isi (cited: 4)
25. 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
26. 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 (cited: 7)  elib  scopus (cited: 5)
27. Yu. G. Prokhorov, “Singular Fano threefolds of genus 12”, Sb. Math., 207:7 (2016), 983–1009  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib  elib  scopus (cited: 4)
28. 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 (cited: 15)  elib  scopus (cited: 13)
29. Yuri G. Prokhorov, “$\mathbb Q$-Fano threefolds of index $7$”, Proc. Steklov Inst. Math., 294 (2016), 139–153  mathnet  crossref  crossref  mathscinet  isi (cited: 6)  elib  elib  scopus (cited: 3)
30. 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
31. Izv. Math., 80:5 (2016), 884–909  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)

   2015
32. 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 (cited: 5)  elib  scopus (cited: 3)
33. 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 (cited: 1)  crossref  mathscinet  isi (cited: 4)  elib  scopus (cited: 3)
34. Yu. G. Prokhorov, “On $G$-Fano threefolds”, Izv. Math., 79:4 (2015), 795–808  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 20)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 7)
35. Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, Steklov Math. Inst. of RAS, Moscow, 2015 , 76 pp.  mathnet  mathnet  crossref  elib

   2014
36. 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
37. 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: 12)
38. 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 (cited: 4)  elib (cited: 1)  scopus (cited: 3)
39. 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
40. 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: 4)
41. 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 (cited: 9)  scopus (cited: 7)
42. 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 (cited: 14)  elib  scopus (cited: 14)

   2013
43. 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 (cited: 5)  elib (cited: 2)  scopus (cited: 5)
44. 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)
45. 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
46. 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: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
47. Yuri Prokhorov, “G-Fano threefolds, I”, Adv. Geom., 13:3 (2013), 389–418 , arXiv: 1012.4959  mathnet  crossref  mathscinet  zmath  isi (cited: 16)  elib (cited: 9)  scopus (cited: 14)
48. Yuri Prokhorov, “G-Fano threefolds, II”, Adv. Geom., 13:3 (2013), 419–434 , arXiv: 1101.3854  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 6)  scopus (cited: 8)
49. 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 (cited: 16)  elib (cited: 6)  scopus (cited: 15)

   2012
50. 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 (cited: 33)  scopus (cited: 34)
51. 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
52. 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 (cited: 7)  scopus (cited: 6)
53. 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  zmath  isi (cited: 20)
54. 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 (cited: 12)

   2010
55. 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
56. 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 (cited: 33)  scopus (cited: 31)
57. 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 (cited: 7)  scopus (cited: 7)
58. 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 (cited: 8)
59. 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 (cited: 11)


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