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Shokurov Vyacheslav Vladimirovich
(full list of publications)
| by years | scientific publications | by types |


Articles


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

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

   2010
4. C. Birkar, V. V. Shokurov, “Mld's vs thresholds and flips”, J. Reine Angew. Math., 638 (2010), 209–234  crossref  mathscinet (cited: 6)  zmath  isi (cited: 4)  elib (cited: 2)  scopus (cited: 3)

   2009
5. Yu. G. Prokhorov, V. V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2009), 151–199  crossref  mathscinet (cited: 35)  zmath  isi (cited: 36)  elib (cited: 32)  scopus (cited: 35)
6. V. V. Shokurov, “Letters of a Bi-rationalist. VII Ordered Termination”, Proc. Steklov Inst. Math., 264 (2009), 178–200  mathnet  crossref  mathscinet  isi (cited: 8)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 8)

   2005
7. 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: 7)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 6)

   2004
8. 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
9. 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
10. Proc. Steklov Inst. Math., 240 (2003), 75–213  mathnet  mathscinet  zmath

   2002
11. Shokurov Vyacheslav V., “Letters of a bi-rationalist. IV. Geometry of log flips”, Algebraic geometry, de Gruyter, Berlin, 2002, 313–328  mathscinet (cited: 6)  zmath

   2001
12. 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)
13. V. V. Shokurov, “Log-modeli 3-foldov”, Algebraicheskaya geometriya – 4, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 33, VINITI, M., 2001, 127–181  mathnet  mathscinet (cited: 61)  zmath; V. V. Shokurov, “3-Fold log models”, J. Math. Sci., 81:3 (1996), 2667–2699  crossref  mathscinet  zmath  scopus (cited: 52)

   2000
14. Shokurov V. V., “Complements on surfaces”, Algebraic geometry, 10, J. Math. Sci. (New York), 102:2 (2000), 3876–3932  crossref  mathscinet (cited: 42)  zmath
15. V. V. Shokurov, “On Rational Connectedness”, Math. Notes, 68:5 (2000), 652–660  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 5)  scopus (cited: 5)

   1998
16. Shokurov V. V., “Algebraic curves and their Jacobians”, Algebraic geometry, III, Encyclopaedia Math. Sci., 36, Springer, Berlin, 1998, 219–270  mathscinet (cited: 4)

   1997
17. 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 (cited: 8)  zmath

   1993
18. V. V. Shokurov, “Dobavlenie k state “Trekhmernye logperestroiki””, Izv. RAN. Ser. matem., 57:6 (1993), 141–175  mathnet (cited: 5)  mathscinet (cited: 10)  zmath  adsnasa; V. V. Shokurov, “An addendum to the paper “3-fold log flips””, Russian Acad. Sci. Izv. Math., 43:3 (1994), 527–558  crossref  mathscinet  zmath  isi (cited: 5)
19. V. V. Shokurov, “Semistable 3-fold flips”, Izv. RAN. Ser. matem., 57:2 (1993), 165–222  mathnet (cited: 6)  mathscinet (cited: 12)  zmath  adsnasa; Russian Acad. Sci. Izv. Math., 42:2 (1994), 371–425  crossref  mathscinet  zmath  isi (cited: 4)

   1992
20. V. V. Shokurov, “Trekhmernye logperestroiki”, Izv. RAN. Ser. matem., 56:1 (1992), 105–203  mathnet (cited: 96)  mathscinet (cited: 129)  zmath  adsnasa; V. V. Shokurov, “Three-fold log flips”, Russian Acad. Sci. Izv. Math., 40:1 (1993), 95–202  crossref  mathscinet  zmath  isi (cited: 92)

   1989
21. 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
22. 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

   1987
23. 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 (cited: 5)

   1985
24. V. V. Shokurov, “Teorema o neobraschenii v nul”, Izv. AN SSSR. Ser. matem., 49:3 (1985), 635–651  mathnet (cited: 33)  mathscinet (cited: 30)  zmath; V. V. Shokurov, “The nonvanishing theorem”, Math. USSR-Izv., 26:3 (1986), 591–604  crossref  mathscinet  zmath

   1984
25. V. V. Shokurov, “O zamknutom konuse krivykh trekhmernykh algebraicheskikh mnogoobrazii”, Izv. AN SSSR. Ser. matem., 48:1 (1984), 203–208  mathnet (cited: 2)  mathscinet (cited: 3)  zmath; V. V. Shokurov, “On the closed cone of curves of algebraic 3-folds”, Math. USSR-Izv., 24:1 (1985), 193–198  crossref  mathscinet  zmath

   1983
26. Shokurov V. V., “Extremal contractions of three-dimensional algebraic varieties”, The birational geometry of algebraic varieties (Russian), Yaroslav. Gos. Ped. Inst., Yaroslavl', 1983, 74–90, 102  mathscinet (cited: 1)  zmath
27. V. V. Shokurov, “Mnogoobraziya Prima: teoriya i prilozheniya”, Izv. AN SSSR. Ser. matem., 47:4 (1983), 785–855  mathnet (cited: 19)  mathscinet (cited: 21)  zmath; V. V. Shokurov, “Prym varieties: theory and applications”, Math. USSR-Izv., 23:1 (1984), 83–147  crossref  mathscinet  zmath

   1981
28. Shokurov V. V., “Distinguishing Prymians from Jacobians”, Invent. Math., 65:2 (1981), 209–219  crossref  mathscinet (cited: 8)  zmath  adsnasa  isi (cited: 20)  elib (cited: 2)  scopus (cited: 20)

   1980
29. V. V. Shokurov, “Integraly Shimury parabolicheskikh form”, Izv. AN SSSR. Ser. matem., 44:3 (1980), 670–718  mathnet (cited: 5)  mathscinet (cited: 9)  zmath  adsnasa; V. V. Shokurov, “Shimura integrals of cusp forms”, Math. USSR-Izv., 16:3 (1981), 603–646  crossref  mathscinet  zmath  isi (cited: 8)
30. V. V. Shokurov, “Izuchenie gomologii mnogoobrazii Kugi”, Izv. AN SSSR. Ser. matem., 44:2 (1980), 443–464  mathnet (cited: 5)  mathscinet (cited: 2)  zmath; V. V. Shokurov, “The study of the homology of Kuga varieties”, Math. USSR-Izv., 16:2 (1981), 399–418  crossref  mathscinet  zmath  isi (cited: 7)

   1979
31. 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
32. 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 (cited: 10)
33. V. V. Shokurov, “Suschestvovanie pryamoi na mnogoobraziyakh Fano”, Izv. AN SSSR. Ser. matem., 43:4 (1979), 922–964  mathnet (cited: 16)  mathscinet (cited: 19)  zmath  adsnasa; V. V. Shokurov, “The existence of a straight line on Fano 3-folds”, Math. USSR-Izv., 15:1 (1980), 173–209  crossref  mathscinet  zmath  isi (cited: 4)
34. V. V. Shokurov, “Gladkost obschego antikanonicheskogo divizora na mnogoobrazii Fano”, Izv. AN SSSR. Ser. matem., 43:2 (1979), 430–441  mathnet (cited: 12)  mathscinet (cited: 19)  zmath; V. V. Shokurov, “Smoothness of the general anticanonical divisor on a Fano 3-fold”, Math. USSR-Izv., 14:2 (1980), 395–405  crossref  mathscinet  zmath  isi (cited: 1)

   1976
35. V. V. Shokurov, “Modular symbols of arbitrary weight”, Funct. Anal. Appl., 10:1 (1976), 85–86  mathnet  crossref  mathscinet  zmath  scopus (cited: 6)
36. 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)

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

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

Books


   2013
39. 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.

   2009
40. V. I. Danilov, V. V. Shokurov, Algebraic curves, algebraic manifolds and schemes, Springer, 2009 (kitaiskoe izdanie)

   1998
41. 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 (cited: 12)

Proceedings


   2008
42. 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

ArXiv


   2013
43. V. V. Shokurov, Log adjunction: effectiveness and positivity, 2013 , 51 pp., arXiv: 1308.5160  adsnasa

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

Information matherials


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

   1988
46. A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 43:4(262) (1988), 252  mathnet

Personalia


   2013
47. 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

   2009
48. 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

   1999
49. 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

Miscellaneous


   2003
50. V. A. Iskovskikh, V. V. Shokurov, “Preface”, Proc. Steklov Inst. Math., 240 (2003), 1–3  mathnet
51. Biratsionalnaya geometriya: lineinye sistemy i konechno porozhdennye algebry, Sbornik statei, Tr. MIAN, 240, ed. V. A. Iskovskikh, V. V. Shokurov, E. F. Mischenko, Nauka, M., 2003 , 239 pp.  mathnet  zmath
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