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Shokurov, Vyacheslav Vladimirovich

Total publications: 54 (47)
in MathSciNet: 43 (40)
in zbMATH: 38 (34)
in Web of Science: 21 (18)
in Scopus: 25 (25)
Cited articles: 37
Citations in Math-Net.Ru: 389
Citations in MathSciNet: 676
Citations in Web of Science: 329
Citations in Scopus: 479
Presentations: 33

Number of views:
This page:5567
Abstract pages:14492
Full texts:5519
References:921
Professor
Doctor of physico-mathematical sciences (1986)
E-mail:
Keywords: model, divisor, variety, flip, termination, sobor, skrepa, big, colimit, nef, semiample.

Subject:

Algebraic geometry


http://www.mathnet.ru/eng/person11520
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:shokurov.vyacheslav-v|sokurov.v-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/193627
http://www.researcherid.com/rid/Q-4590-2016
https://www.scopus.com/authid/detail.url?authorId=8448009000

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



   2020
1. V. V. Shokurov, “Skrepa morphisms”, Pure Appl. Math. Q., 16:1 (2020), 35–124  mathnet  crossref  mathscinet  zmath  isi  scopus;
2. V. V. Shokurov, Existence and bondedness of n-complements, 2020 , 218 pp., arXiv: 2012.06495

   2019
3. J. Han, J. Liu, V. V. Shokurov, Acc for minimal log discrepancies of exceptional singularities, 2019 , 57 pp., arXiv: 1903.04338

   2017
4. V. V. Shokurov, “A criterion for semiampleness”, Izv. Math., 81:4 (2017), 827–887  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  elib  elib  scopus (cited: 1)

   2013
5. V. V. Shokurov, Biratsionalnaya geometriya i chislennye invarianty algebraicheskikh mnogoobrazii, Globus, Obschematematicheskii seminar, 6, eds. M. A. Tsfasman, V. V. Prasolov, MTsNMO, M., 2013 , 31 pp.
6. V. V. Shokurov, Log adjunction: effectiveness and positivity, 2013 , 51 pp., arXiv: 1308.5160  zmath  adsnasa
7. 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

   2011
8. Y. Chen, V. Shokurov, “Strong rational connectedness of toric varieties”, Math. Res. Lett., 18:6 (2011), 1227–1237 , arXiv: 0905.1430  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
9. V. Shokurov, S. R. Choi, “Geography of log models: theory and applications”, Cent. Eur. J. Math., 9:3 (2011), 489–534  crossref  mathscinet  zmath  isi (cited: 12)  elib (cited: 9)  scopus (cited: 13)

   2010
10. C. Birkar, V. V. Shokurov, “Mld's vs thresholds and flips”, J. Reine Angew. Math., 638 (2010), 209–234  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 2)  scopus (cited: 7)

   2009
11. Yu. G. Prokhorov, V. V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2009), 151–199  crossref  mathscinet  zmath  isi (cited: 62)  elib (cited: 32)  scopus (cited: 63)
12. V. V. Shokurov, “Letters of a Bi-rationalist. VII Ordered Termination”, Proc. Steklov Inst. Math., 264 (2009), 178–200  mathnet  crossref  mathscinet  isi (cited: 15)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 10)
13. V. I. Danilov, V. V. Shokurov, Algebraic curves, algebraic manifolds and schemes, Springer, 2009 (kitaiskoe izdanie)  mathscinet
14. 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
15. V. V. Shokurov, “Svoistvo BP diviorialnogo prisoedineniya”, Tezisy dokladov Mezhdunarodnoi algebraicheskoi konferentsii k 100-letiyu so dnya rozhdeniya A. G. Kurosha, Izd-vo mekhaniko-matematicheskogo fakulteta MGU, M., 2008, 259–260

   2006
16. Birkar Caucher, V. V. Shokurov, Mld's vs thresholds and flips, 2006 , 41 pp., arXiv: math/0609539

   2005
17. V. A. Iskovskikh, V. V. Shokurov, “Birational models and flips”, Russian Math. Surveys, 60:1 (2005), 27–94  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 6)

   2004
18. V. V. Shokurov, “Letters of a Bi-rationalist V: Mld's and Termination of Log Flips”, Proc. Steklov Inst. Math., 246 (2004), 315–336  mathnet  mathscinet  zmath

   2003
19. A. A. Borisov, V. V. Shokurov, “Directional Rational Approximations with Some Applications to Algebraic Geometry”, Proc. Steklov Inst. Math., 240 (2003), 66–74  mathnet  mathscinet  zmath
20. Proc. Steklov Inst. Math., 240 (2003), 75–213  mathnet  mathscinet  zmath
21. V. A. Iskovskikh, V. V. Shokurov, “Preface”, Proc. Steklov Inst. Math., 240 (2003), 1–3  mathnet
22. Biratsionalnaya geometriya: lineinye sistemy i konechno porozhdennye algebry, Sbornik statei, Trudy MIAN, 240, ed. V. A. Iskovskikh, V. V. Shokurov, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2003 , 239 pp.  mathnet  zmath

   2002
23. Shokurov Vyacheslav V., “Letters of a bi-rationalist. IV. Geometry of log flips”, Algebraic geometry, de Gruyter, Berlin, 2002, 313–328  mathscinet  zmath

   2001
24. 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: 5)

   1996
25. V. V. Shokurov, “3-Fold log models”, J. Math. Sci., 81:3 (1996), 2667–2699  mathnet  crossref  mathscinet  zmath  scopus (cited: 68)

   2000
26. Shokurov V. V., “Complements on surfaces”, Algebraic geometry, 10, J. Math. Sci. (New York), 102:2 (2000), 3876–3932  crossref  mathscinet  zmath
27. V. V. Shokurov, “On Rational Connectedness”, Math. Notes, 68:5 (2000), 652–660  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 5)  scopus (cited: 6)

   1999
28. 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

   1998
29. Danilov V. I., Shokurov V. V., Algebraic curves, algebraic manifolds and schemes, Translated from the 1988 Russian original by D. Coray and V. N. Shokurov; Translation edited and with an introduction by I. R. Shafarevich; Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences [Algebraic geometry. I, Encyclopaedia Math. Sci., 23, Springer, Berlin, 1994], Springer-Verlag, Berlin, 1998 , vi+307 pp.  mathscinet
30. Shokurov V. V., “Algebraic curves and their Jacobians”, Algebraic geometry, III, Encyclopaedia Math. Sci., 36, Springer, Berlin, 1998, 219–270  crossref  mathscinet

   1997
31. Shokurov V. V., “Letters of a bi-rationalist. I. A projectivity criterion”, Birational algebraic geometry (1996, Baltimore, MD), Contemp. Math., 207, Amer. Math. Soc., Providence, RI, 1997, 143–152  crossref  mathscinet  zmath

   1994
32. V. V. Shokurov, “An addendum to the paper “3-fold log flips””, Russian Acad. Sci. Izv. Math., 43:3 (1994), 527–558  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus (cited: 4)
33. Russian Acad. Sci. Izv. Math., 42:2 (1994), 371–425  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 5)

   1993
34. V. V. Shokurov, “Three-fold log flips”, Russian Acad. Sci. Izv. Math., 40:1 (1993), 95–202  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 120)  scopus (cited: 97)

   1990
35. A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 45:5(275) (1990), 213  mathnet

   1989
36. V. V. Shokurov, “Algebraic curves and their Jacobians”, Algebraic geometry – 3, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 36, VINITI, Moscow, 1989, 233–273  mathnet  mathscinet  zmath

   1988
37. V. V. Shokurov, “Riemann surfaces and algebraic curves”, Algebraic geometry – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 23, VINITI, Moscow, 1988, 5–171  mathnet  mathscinet  zmath
38. A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 43:4(262) (1988), 252  mathnet

   1987
39. Shokurov V. V., “Numerical geometry of algebraic varieties”, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (1986, Berkeley, Calif.), Amer. Math. Soc., Providence, RI, 1987, 672–681  mathscinet

   1986
40. V. V. Shokurov, “The nonvanishing theorem”, Math. USSR-Izv., 26:3 (1986), 591–604  mathnet  crossref  mathscinet  zmath  scopus (cited: 50)

   1985
41. V. V. Shokurov, “On the closed cone of curves of algebraic 3-folds”, Math. USSR-Izv., 24:1 (1985), 193–198  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   1983
42. Shokurov V. V., “Extremal contractions of three-dimensional algebraic varieties”, The birational geometry of algebraic varieties (Russian), no. 203, Yaroslav. Gos. Ped. Inst., Yaroslavl', 1983, 74–90, 102  mathscinet  zmath

   1984
43. V. V. Shokurov, “Prym varieties: theory and applications”, Math. USSR-Izv., 23:1 (1984), 83–147  mathnet  crossref  mathscinet  zmath  scopus (cited: 17)

   1981
44. Shokurov V. V., “Distinguishing Prymians from Jacobians”, Invent. Math., 65:2 (1981), 209–219  crossref  mathscinet  zmath  adsnasa  isi (cited: 21)  elib (cited: 2)  scopus (cited: 19)
45. V. V. Shokurov, “Shimura integrals of cusp forms”, Math. USSR-Izv., 16:3 (1981), 603–646  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 13)
46. V. V. Shokurov, “The study of the homology of Kuga varieties”, Math. USSR-Izv., 16:2 (1981), 399–418  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 9)

   1979
47. Bočvar D. A., Šokurov V. V., “Behavior of the likelihood functional for “tertium non datur” in certain sequences of logical matrices”, Studies in nonclassical logics and set theory (Russian), “Nauka”, Moscow, 1979, 330–344  mathscinet
48. Iskovskih V. A., Šokurov V. V., “Biregular theory of Fano 3-folds”, Algebraic geometry, Proc. Summer Meeting (Univ. Copenhagen, Copenhagen, 1978), Lecture Notes in Math., 732, Springer, Berlin, 1979, 171–182  crossref  mathscinet

   1980
49. V. V. Shokurov, “The existence of a straight line on Fano 3-folds”, Math. USSR-Izv., 15:1 (1980), 173–209  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  scopus (cited: 27)
50. V. V. Shokurov, “Smoothness of the general anticanonical divisor on a Fano 3-fold”, Math. USSR-Izv., 14:2 (1980), 395–405  mathnet  crossref  mathscinet  zmath  isi (cited: 17)  scopus (cited: 32)

   1976
51. V. V. Shokurov, “Modular symbols of arbitrary weight”, Funct. Anal. Appl., 10:1 (1976), 85–86  mathnet  crossref  mathscinet  zmath  scopus (cited: 6)
52. V. V. Shokurov, “Holomorphic differential forms of higher degree on Kuga's modular varieties”, Math. USSR-Sb., 30:1 (1976), 119–142  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 12)

   1975
53. V. V. Shokurov, “Periods of cusp forms, and Kuga varieties”, Uspekhi Mat. Nauk, 30:3(183) (1975), 183–184  mathnet  mathscinet  zmath

   1971
54. V. V. Shokurov, “The Noether–Enriques theorem on canonical curves”, Math. USSR-Sb., 15:3 (1971), 361–403  mathnet  crossref  mathscinet  zmath  scopus (cited: 8)

Presentations in Math-Net.Ru
1. Moduli part of adjunction
V. V. Shokurov
Conference on Birational Geometry "Shokurov 70+1"
May 18, 2021 16:00   
2. Application of complements
Vyacheslav Shokurov
"Birational Geometry and Fano varieties" dedicated to V. Iskovskikh
June 24, 2019 16:00   
3. Введение в современную бирациональную алгебраическую геометрию
V. V. Shokurov

May 23, 2019 18:30   
4. Boundedness of $n$-complements
V. V. Shokurov
Iskovskikh Seminar
March 21, 2019
5. Дополнения и ограниченность
V. V. Shokurov
One-day conference dedicated to the memory of V. A. Iskovskikh
December 27, 2018 16:45   
6. Boundedness and existence of $n$-complements
V. V. Shokurov
Shafarevich Seminar
August 28, 2018 15:00
7. Log canonical complements and a,\alpha-invariants
V. V. Shokurov
Shafarevich Seminar
June 13, 2017 15:00
8. Проблемы рациональности в алгебраической геометрии. Лекция 16
Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov

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

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

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

March 22, 2017 18:00   
12. Проблемы рациональности в алгебраической геометрии. Лекция 12
V. V. Shokurov

March 1, 2017 18:00   
13. Проблемы рациональности в алгебраической геометрии. Лекция 11
V. V. Shokurov

February 15, 2017 18:00   
14. Модификация как индуктивный предел
V. V. Shokurov
Shafarevich Seminar
May 17, 2016 15:00
15. Собор, скрепы и пр
V. V. Shokurov
Shafarevich Seminar
June 23, 2015 16:00
16. One more semiampleness criterion
V. V. Shokurov
One-day conference dedicated to the memory of V. A. Iskovskikh
December 23, 2014 11:40   
17. 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
18. Бирациональная геометрия и модули
V. V. Shokurov
Shafarevich Seminar
September 3, 2013 15:00
19. Минимальные стандартные расслоения на коники
V. V. Shokurov
Shafarevich Seminar
January 15, 2013 15:00
20. Limits of polarized models
V. V. Shokurov
International conference "KUL!FEST" dedicated to the 60th anniversary of Vik. S. Kulikov
December 7, 2012 16:00   
21. Строгая рациональная связность торических многообразий
V. V. Shokurov
Weekly seminar of Laboratory of algebraic geometry
December 2, 2011 17:00
22. Semiampleness of adjunction
Vyacheslav Shokurov
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin (24.02.1940 – 27.10.2002)
October 25, 2011 16:10   
23. Модули и бирациональная геометрия
V. V. Shokurov
Seminar by Algebra Department
December 21, 2010 15:00
24. Бирациональные инварианты алгебраических многообразий
V. V. Shokurov
Seminar by Algebra Department
May 18, 2010 15:00
25. Жесткость и подвижность в бирациональной геометрии (продолжение)
V. V. Shokurov
Seminar by Algebra Department
December 29, 2009 15:00
26. Жесткость и подвижность в бирациональной геометрии
V. V. Shokurov
Seminar by Algebra Department
December 22, 2009 15:00
27. Open ceremony
D. O. Orlov, A. G. Sergeev, A. N. Parshin, M. Reid, V. V. Shokurov
International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh
June 29, 2009 10:00   
28. Граничное свойство дивизориального присоединения
V. V. Shokurov
Seminar by Algebra Department
May 19, 2009 15:00
29. Сильная рациональная связность на алгебраических многообразиях
V. V. Shokurov
Seminar by Algebra Department
December 16, 2008 15:00
30. Termination in the Minimal Model Program of algebraic varietes
V. V. Shokurov
Steklov Mathematical Institute Seminar
June 26, 2008 16:00   
31. Присоединения лог-дивизоров
V. V. Shokurov
Seminar by Algebra Department
September 5, 2006
32. Модели и обрыв
V. V. Shokurov
Seminar by Algebra Department
June 27, 2006
33. Минимальные дискрепанты и обрыв перестроек
V. V. Shokurov
Seminar by Algebra Department
January 24, 2006

Books in Math-Net.Ru
  1. Birational geometry: Linear systems and finitely generated algebras, Collected papers, Trudy Mat. Inst. Steklova, 240, ed. V. A. Iskovskikh, V. V. Shokurov, E. F. Mishchenko, 2003, 239 с.
    http://mi.mathnet.ru/book253

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