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



   2017
1. Yuri Prokhorov, Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families, 2017 , 28 pp., arXiv: 1703.10229
2. Yuri Prokhorov, Quasi-simple finite groups of essential dimension $3$, 2017 , 12 pp., arXiv: 1703.10780
3. 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
4. Yu. Prokhorov, M. Zaidenberg, Fano-Mukai fourfolds of genus 10 as compactifications of $C^4$, 2017 , 57 pp., arXiv: 1706.04926
5. Shigefumi Mori, Yuri Prokhorov, Threefold extremal contractions of type (IIA), II, 2017 , 27 pp., arXiv: 1707.05047
6. Yuri Prokhorov, Constantin Shramov, Automorphism groups of compact complex surfaces, 2017 , 29 pp., arXiv: 1708.03566
7. Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank 3”, Mosc. Math. J., 17:3 (2017), 457–509 , arXiv: 1608.00709  mathnet
8. 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

   2016
9. 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
10. 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
11. 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)
12. A. Kuznetsov, Yu. Prokhorov, C. Shramov, Hilbert schemes of lines and conics and automorphism groups of Fano threefolds, 2016 , arXiv: 1605.02010
13. 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
14. 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
15. Yu. Prokhorov, C. Shramov, p-subgroups in the space Cremona group, 2016 , 26 pp., arXiv: 1610.02990
16. Izv. Math., 80:5 (2016), 884–909  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
17. Yu. Prokhorov, C. Shramov, Finite groups of birational selfmaps of threefolds, 2016 , 9 pp., arXiv: 1611.00789

   2015
18. 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)
19. 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)
20. 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)
21. Yu. Prokhorov, M. Zaidenberg, New examples of cylindrical Fano fourfolds, 2015 , 18 pp., arXiv: 1507.01748
22. Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, Steklov Math. Inst. of RAS, Moscow, 2015 , 76 pp.  mathnet  mathnet  crossref  elib

   2014
23. 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
24. 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)
25. 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)
26. 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
27. 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)
28. 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)
29. 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
30. 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)
31. 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)
32. 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
33. 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)
34. 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)
35. 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)
36. 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
37. 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)
38. 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
39. 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)
40. 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)
41. 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
42. 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
43. 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)
44. 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: 5)  scopus (cited: 6)
45. 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)
46. 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)


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