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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: 57
Cited articles: 76
Citations in Math-Net.Ru: 92
Citations in MathSciNet (by Sep 2017): 443
Citations in Web of Science: 291
Citations in Scopus: 269
Presentations: 61

Number of views:
This page:6144
Abstract pages:7872
Full texts:2045
References:628
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

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ISTINA http://istina.msu.ru/workers/520777
http://orcid.org/0000-0001-7376-1861
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http://arxiv.org/a/prokhorov_y_1

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


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
9. 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)
10. 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
11. 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
12. 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)
13. A. Kuznetsov, Yu. Prokhorov, C. Shramov, Hilbert schemes of lines and conics and automorphism groups of Fano threefolds, 2016 , arXiv: 1605.02010
14. 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
15. 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
16. Yu. Prokhorov, C. Shramov, p-subgroups in the space Cremona group, 2016 , 26 pp., arXiv: 1610.02990
17. Izv. Math., 80:5 (2016), 884–909  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
18. Yu. Prokhorov, C. Shramov, Finite groups of birational selfmaps of threefolds, 2016 , 9 pp., arXiv: 1611.00789
19. 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)
20. 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)
21. 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)
22. Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, Steklov Math. Inst. of RAS, Moscow, 2015 , 76 pp.  mathnet  mathnet  crossref  elib
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 (cited: 1)
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 (cited: 1)
29. 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)
30. 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)
31. 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)
32. 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)
33. 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)
34. 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)
35. 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)
36. 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)
37. 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)
38. 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
39. 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)
40. 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: 6)  scopus (cited: 6)
41. 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)
42. 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)
43. Proc. Steklov Inst. Math., 264 (2009), 131–145  mathnet  crossref  mathscinet  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
44. Yu. G. Prokhorov, Osobennosti algebraicheskikh mnogoobrazii, MTsNMO, Moskva, 2009 , 128 pp.
45. 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)
46. 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)
47. 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
48. 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: 21)  scopus (cited: 21)
49. 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)
50. 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)
51. 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)
52. 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)
53. 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)
54. Yu. G. Prokhorov, Ellipticheskie krivye i kriptografiya. Semestr 1, Izdatelstvo tsentra prikladnykh issledovanii pri mekhaniko-matematicheskom fakultete MGU, Moskva, 2007 , 144 pp.
55. 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)
56. 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)
57. P. Hacking, Yu. Prokhorov, Degenerations of del Pezzo surfaces I, 2005 , 14 pp., arXiv: math/0509529
58. 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)
59. 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)
60. 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)
61. 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
62. Yu. G. Prokhorov, “An Application of the Canonical Bundle Formula”, Proc. Steklov Inst. Math., 241 (2003), 195–201  mathnet  mathscinet  zmath
63. Yu. G. Prokhorov, “On the Zariski Decomposition Problem”, Proc. Steklov Inst. Math., 240 (2003), 37–65  mathnet  mathscinet  zmath
64. 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
65. Yuri Prokhorov, “E1-blowing ups of terminal singularities”, J. Math. Sci. (New York), 115:3 (2003), 2395–2427  crossref  mathscinet (cited: 3)  zmath
66. 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)
67. 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)
68. 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)
69. 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
70. Yu. G. Prokhorov, “Complements on conic fibrations. I”, J. Math. Sci. (New York), 106:5 (2001), 3353–3364  mathnet  crossref  mathscinet  zmath  scopus
71. 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)
72. 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)
73. 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)
74. 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)
75. 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)
76. 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
77. 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)
78. 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)
79. 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
80. 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
81. V. A. Iskovskikh, Y. G. Prokhorov, Fano varieties, Algebraic geometry V, Encyclopaedia Math. Sci., Springer, Springer, Berlin, 1999 , 247 pp.  mathscinet (cited: 9)  zmath
82. 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)
83. 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)
84. 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
85. 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)
86. 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)
87. 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
88. 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
89. 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)
90. 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
91. Yu. Prokhorov, On Q-Fano fiber spaces with two-dimensional base, 3733.pdf, Max Planck Institute for Mathematics, Bonn, 1995 , 30 pp.
92. 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)
93. 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
94. Yu. G. Prokhorov, “Rationality constructions of some Fano fourfolds of index 2”, Moscow Univ. Math. Bull., 48:2 (1993), 32–35  mathscinet  zmath  isi
95. 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
96. 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)
97. Yu. G. Prokhorov, “Invariant submanifolds in spaces of binary forms”, Russian Math. Surveys, 47:4 (1992), 224–225  mathnet  crossref  mathscinet  zmath  adsnasa  isi
98. 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
99. 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)
100. Yu. G. Prokhorov, “Automorphism groups of Fano manifolds”, Russian Math. Surveys, 45:3 (1990), 222–223  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)
101. Yu. G. Prokhorov, “Exotic Fano varieties”, Moscow Univ. Math. Bull., 45:3 (1990), 36–38  mathscinet  zmath  isi
102. 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
103. 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)
104. 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
105. 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.
106. 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
107. 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
108. 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

Presentations in Math-Net.Ru
1. Многообразия Фано. Лекция 6
Yu. G. Prokhorov

October 18, 2017 18:00   
2. Многообразия Фано. Лекция 5
Yu. G. Prokhorov

October 11, 2017 18:00   
3. Многообразия Фано. Лекция 4
Yu. G. Prokhorov

October 4, 2017 18:00   
4. Многообразия Фано. Лекция 3
Yu. G. Prokhorov

September 27, 2017 18:00   
5. Многообразия Фано. Лекция 2
Yu. G. Prokhorov

September 20, 2017 18:00   
6. Проблемы рациональности в алгебраической геометрии. Лекция 16
Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov

April 19, 2017 18:00   
7. Проблемы рациональности в алгебраической геометрии. Лекция 15
Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov

April 12, 2017 18:00   
8. Проблемы рациональности в алгебраической геометрии. Лекция 14
Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov

March 29, 2017 18:00   
9. Проблемы рациональности в алгебраической геометрии. Лекция 13
Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov

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

December 7, 2016 18:00   
12. Проблемы рациональности в алгебраической геометрии. Лекция 9
Yu. G. Prokhorov

November 30, 2016 18:00   
13. Проблемы рациональности в алгебраической геометрии. Лекция 8
Yu. G. Prokhorov

November 23, 2016 18:00   
14. Проблемы рациональности в алгебраической геометрии. Лекция 7
Yu. G. Prokhorov

November 9, 2016 18:00   
15. Проблемы рациональности в алгебраической геометрии. Лекция 6
Yu. G. Prokhorov

November 2, 2016 18:00   
16. Проблемы рациональности в алгебраической геометрии. Лекция 5
Yu. G. Prokhorov

October 19, 2016 18:00   
17. Проблемы рациональности в алгебраической геометрии. Лекция 4
Yu. G. Prokhorov

October 12, 2016 18:00   
18. Проблемы рациональности в алгебраической геометрии. Лекция 3
Yu. G. Prokhorov

October 5, 2016 18:00   
19. Проблемы рациональности в алгебраической геометрии. Лекция 2
Yu. G. Prokhorov

September 28, 2016 18:00   
20. Проблемы рациональности в алгебраической геометрии. Лекция 1
Yu. G. Prokhorov

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