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Prokhorov Yuri Gennadievich

Total publications: 108
Scientific articles: 102
in MathSciNet: 85
in zbMATH: 82
in Web of Science: 59
in Scopus: 56
Cited articles: 75
Citations in Math-Net.Ru: 92
Citations in MathSciNet: 443
Citations in Web of Science: 286
Citations in Scopus: 258
Presentations: 58

Number of views:
This page:6018
Abstract pages:7764
Full texts:2040
References:622
Prokhorov Yuri Gennadievich
Professor
Doctor of physico-mathematical sciences (2002)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 2.03.1964
E-mail:
Website: http://www.mi.ras.ru/~prokhoro
Keywords: algebraic variety, minimal model, birational map, Fano variety, singularity.
UDC: 512.76, 512.77, 512.7, 512, 512.712, 512.774.2
MSC: 14E05, 14E30, 14E08, 14Jxx

Subject:

Algebraic geometry.

   
Main publications:
  1. V.A. Iskovskikh and Yu. Prokhorov, Fano varieties, Encyclopaedia Math. Sci. Algebraic geometry, V, Springer, 1999

http://www.mathnet.ru/eng/person8352
http://scholar.google.com/citations?user=1uY3AWUAAAAJ&hl=en
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ISTINA http://istina.msu.ru/workers/520777
http://orcid.org/0000-0001-7376-1861
http://www.researcherid.com/rid/C-3478-2014
http://www.scopus.com/authid/detail.url?authorId=7003439691
https://www.researchgate.net/profile/Yu_Prokhorov
http://arxiv.org/a/prokhorov_y_1

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   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

   2016
8. 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
9. 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
10. 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
11. Yu. Prokhorov, A simple proof of the non-rationality of a general quartic double solid, 2016 , 7 pp., arXiv: 1605.02017
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  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: 1)
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: 1)
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. 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)
25. 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
26. 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
27. 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)
28. 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
29. 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)

   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: 3)
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. 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)
33. 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)
34. 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: 3)
35. 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: 9)
36. 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

   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: 24)
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: 11)
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. 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: 18)
43. 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)
44. 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)
45. 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)
46. 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
47. Proc. Steklov Inst. Math., 264 (2009), 131–145  mathnet  crossref  mathscinet  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
48. Yu. G. Prokhorov, Osobennosti algebraicheskikh mnogoobrazii, MTsNMO, Moskva, 2009 , 128 pp.
49. 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)
50. 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)
51. 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
52. 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

   2008
53. 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: 19)  scopus (cited: 21)
54. 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)
55. 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)
56. 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
57. 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)
58. 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)
59. Yu. G. Prokhorov, Ellipticheskie krivye i kriptografiya. Semestr 1, Izdatelstvo tsentra prikladnykh issledovanii pri mekhaniko-matematicheskom fakultete MGU, Moskva, 2007 , 144 pp.

   2005
60. 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)
61. 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)
62. P. Hacking, Yu. Prokhorov, Degenerations of del Pezzo surfaces I, 2005 , 14 pp., arXiv: math/0509529

   2004
63. 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)
64. 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)
65. 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)
66. 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
67. Yu. G. Prokhorov, “An Application of the Canonical Bundle Formula”, Proc. Steklov Inst. Math., 241 (2003), 195–201  mathnet  mathscinet  zmath
68. Yu. G. Prokhorov, “On the Zariski Decomposition Problem”, Proc. Steklov Inst. Math., 240 (2003), 37–65  mathnet  mathscinet  zmath
69. 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
70. Yuri Prokhorov, “E1-blowing ups of terminal singularities”, J. Math. Sci. (New York), 115:3 (2003), 2395–2427  crossref  mathscinet (cited: 3)  zmath

   2002
71. 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)
72. 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
73. 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)
74. 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
75. Yu. G. Prokhorov, “Complements on conic fibrations. I”, J. Math. Sci. (New York), 106:5 (2001), 3353–3364  mathnet  crossref  mathscinet  zmath  scopus
76. 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)
77. 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)
78. 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)
79. 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)
80. 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)
81. 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

   2000
82. 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)
83. 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)
84. 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
85. 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
86. V. A. Iskovskikh, Y. G. Prokhorov, Fano varieties, Algebraic geometry V, Encyclopaedia Math. Sci., Springer, Springer, Berlin, 1999 , 247 pp.  mathscinet (cited: 9)  zmath
87. 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)
88. 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)
89. 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
90. 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)
91. 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

   1997
92. 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)
93. 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
94. 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
95. 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)
96. 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
97. Yu. Prokhorov, On Q-Fano fiber spaces with two-dimensional base, 3733.pdf, Max Planck Institute for Mathematics, Bonn, 1995 , 30 pp.

   1994
98. 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)
99. 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
100. 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
101. 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
102. 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)
103. 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
104. 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
105. 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
106. Yu. G. Prokhorov, “Automorphism groups of Fano manifolds”, Russian Math. Surveys, 45:3 (1990), 222–223  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)
107. Yu. G. Prokhorov, “Exotic Fano varieties”, Moscow Univ. Math. Bull., 45:3 (1990), 36–38  mathscinet  zmath  isi

   1987
108. 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

Presentations in Math-Net.Ru
1. Многообразия Фано. Лекция 2

September 20, 2017 18:00   
2. Многообразия Фано. Лекция 1

September 13, 2017 18:00
3. Проблемы рациональности в алгебраической геометрии. Лекция 16

April 19, 2017 18:00   
4. Проблемы рациональности в алгебраической геометрии. Лекция 15

April 12, 2017 18:00   
5. Проблемы рациональности в алгебраической геометрии. Лекция 14

March 29, 2017 18:00   
6. Проблемы рациональности в алгебраической геометрии. Лекция 13

March 22, 2017 18:00   
7. Fano-Mukai fourfolds of genus 10 as compactifications of $\mathbb C^4$
One-day conference dedicated to the memory of V. A. Iskovskikh
December 27, 2016 11:40   
8. Проблемы рациональности в алгебраической геометрии. Лекция 10

December 7, 2016 18:00   
9. Проблемы рациональности в алгебраической геометрии. Лекция 9

November 30, 2016 18:00   
10. Проблемы рациональности в алгебраической геометрии. Лекция 8

November 23, 2016 18:00   
11. Проблемы рациональности в алгебраической геометрии. Лекция 7

November 9, 2016 18:00   
12. Проблемы рациональности в алгебраической геометрии. Лекция 6

November 2, 2016 18:00   
13. Проблемы рациональности в алгебраической геометрии. Лекция 5

October 19, 2016 18:00   
14. Проблемы рациональности в алгебраической геометрии. Лекция 4

October 12, 2016 18:00   
15. Проблемы рациональности в алгебраической геометрии. Лекция 3

October 5, 2016 18:00   
16. Проблемы рациональности в алгебраической геометрии. Лекция 2

September 28, 2016 18:00   
17. Проблемы рациональности в алгебраической геометрии. Лекция 1

September 21, 2016 18:00   
18. A Fano-Mukai fourfold of genus 10 as a compactification of $C^4$
International conference on algebraic geometry, complex analysis and computer algebra
August 5, 2016 12:00
19. Classical algebraic geometry. Lecture 9
K. A. Shramov course "Classical algebraic geometry", spring semester 2015/2016
April 27, 2016 18:00   
20. Classical algebraic geometry. Lecture 8
K. A. Shramov course "Classical algebraic geometry", spring semester 2015/2016
April 13, 2016 18:00   
21. О классификации особых многообразий Фано
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
April 12, 2016 15:00
22. Классическая алгебраическая геометрия. Лекция 7
K. A. Shramov course "Classical algebraic geometry", spring semester 2015/2016
March 30, 2016   
23. Classical algebraic geometry. Lecture 6
K. A. Shramov course "Classical algebraic geometry", spring semester 2015/2016
March 23, 2016 18:00   
24. Classical algebraic geometry. Lecture 9
Yu. G. Prokhorov course "Classical algebraic geometry"
December 2, 2015 18:00   
25. Classical algebraic geometry. Lecture 8
Yu. G. Prokhorov course "Classical algebraic geometry"
November 25, 2015 18:00   
26. Classical algebraic geometry. Lecture 7
Yu. G. Prokhorov course "Classical algebraic geometry"
November 11, 2015 18:00
27. Classical algebraic geometry. Lecture 6
Yu. G. Prokhorov course "Classical algebraic geometry"
October 28, 2015 18:00   
28. Classical algebraic geometry. Lecture 5
Yu. G. Prokhorov course "Classical algebraic geometry"
October 21, 2015 18:00   
29. Classical algebraic geometry. Lecture 4
Yu. G. Prokhorov course "Classical algebraic geometry"
October 14, 2015 18:00   
30. Classical algebraic geometry. Lecture 3
Yu. G. Prokhorov course "Classical algebraic geometry"
October 7, 2015 18:00   
31. Classical algebraic geometry. Lecture 2
Yu. G. Prokhorov course "Classical algebraic geometry"
September 30, 2015 18:00   
32. Classical algebraic geometry. Lecture 1
Yu. G. Prokhorov course "Classical algebraic geometry"
September 23, 2015 18:00   
33. Degenerations of del Pezzo surfaces in terminal Q-Gorenstein families
Categorical and analytic invariants in Algebraic geometry 1
September 18, 2015 14:00   
34. Цилиндрические многообразия Фано
Traditional winter session MIAN–POMI
December 19, 2014 11:15   
35. Заседание, посвященное памяти Василия Алексеевича Исковских
Meetings of the Moscow Mathematical Society
December 9, 2014
36. Birational geometry and effective theory of minimal models
Steklov Mathematical Institute Seminar
November 27, 2014 16:00   
37. Jordan property for groups of birational selfmaps
Scientific session of the Steklov Mathematical Institute dedicated to the results of 2014
November 12, 2014 11:45   
38. Yu. Prokhorov. "On plane Cremona group". M. Verbitsky. "Cremona group and hyperbolic geometry".
Iskovskikh Seminar
December 12, 2013 18:30
39. $G$-многообразия Фано
Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013
November 20, 2013 10:40   
40. Свойство цилиндричности для многообразий
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin
October 28, 2013 11:45   
41. О стабильной сопряженности конечных подгрупп в группе Кремоны
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
September 17, 2013 15:00
42. О стабильной эквивалентности подгрупп группы Кремоны
International conference dedicated to the 90th anniversary of academician Igor Rostislavovich Shafarevich
June 5, 2013 17:00   
43. Groups of birational automorphisms, and minimal models
Globus Seminar
April 4, 2013 15:40   
44. Группа Кремоны и ее подгруппы
Meetings of the Moscow Mathematical Society
March 26, 2013 18:30   
45. Greeting
Second one-day conference dedicated to the memory of V. A. Iskovskikh
December 27, 2012 11:00   
46. On finite Abelian subgroups in the space Cremona group
International conference "KUL!FEST" dedicated to the 60th anniversary of Vik. S. Kulikov
December 7, 2012 10:00   
47. On elements of finite order in the three-dimensional Cremona group
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin (24.02.1940–27.10.2002) "Algebraic and Differential Geometry of Andrei Tyurin"
October 26, 2012 12:30   
48. Подгруппы групп Кремоны
Weekly seminar of Laboratory of algebraic geometry
December 23, 2011 17:00
49. Finite subgroups of the space Cremona group and singular Fano threefolds
Seminar of the Department of Algebra
April 5, 2011 15:00
50. Особые трехмерные $G$-многообразия Фано
Seminar of the Department of Algebra
October 26, 2010 14:00
51. Singular Fano threefolds and subgroups of the Cremona group
International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin
February 24, 2010 11:30   
52. О подгрупах группы Кремоны ранга 3
Seminar of the Department of Algebra
October 6, 2009 15:00
53. О конечных подгруппах в группе Кремоны $\mathrm{Cr}_3$
Seminar of the Department of Algebra
October 21, 2008 15:00
54. Локальная структура расслоений на поверхности дель Пеццо
Seminar of the Department of Algebra
April 29, 2008 15:00
55. Формула для канонического дивизора лог-эллиптических расслоений, ее обобщения и приложения к бирациональной геометрии
Seminar of the Department of Algebra
October 24, 2006
56. Степень многообразий $Q$-Фано
Seminar of the Department of Algebra
September 12, 2006
57. О классификации Q-расслоений на коники (по совместной работе с С. Мори)
Seminar of the Department of Algebra
October 11, 2005
58. Вырождения поверхностей дель Пеццо (совместная работа с P. Hacking)
Seminar of the Department of Algebra
January 25, 2005

Books in Math-Net.Ru
  1. Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, 2015, 78 с.
    http://mi.mathnet.ru/book1590

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