Vyacheslav Vladimirovich Shokurov

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Vyacheslav Shokurov

Vyacheslav Vladimirovich Schokurow ( Russian Вячеслав Владимирович Шокуров , English Vyacheslav Vladimirovich Shokurov ; born May 18, 1950 in Moscow ) is a Russian mathematician who deals with algebraic geometry .

Shokurow studied from 1968 at Lomonosov University , where he published important works as a student and where he received his doctorate in 1976 with Yuri Manin . As a post-doctoral student he was at the Yaroslavl State Pedagogical University . In 1986 he completed his habilitation (Russian doctorate). He was at the Steklow Institute in Moscow and is a professor at Johns Hopkins University .

Schokurow dealt with Prym , Kuga and Fano varieties and made important contributions to the Minimal Model program of higher-dimensional algebraic varieties ( Nonvanishing Theorem , Log Flips). Originally started for three dimensions by Shigefumi Mori , whereby the concept of a flip was essential, it has long been unclear how one should treat higher dimensions. In 2003 Shokurow showed the existence of flips in four dimensions. The general proof of the existence of flips in more than two dimensions came from Caucher Birkar (a student of Schokurow who received the Fields Medal for this among others ), Christopher Hacon and James McKernan in 2016. Schokurow was also working on the expansion of Minimal in the 1990s Model program to the Log Minimal Model program, in which each variety is paired with another with a dimension smaller by 1.

In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( Numerical Geometry of Algebraic Varieties , presented by Eckart Viehweg ).

He is on the editorial board of the American Journal of Mathematics .

Fonts

  • Riemann surfaces and algebraic curves . In: Igor R. Shafarevich (Ed.): Algebraic Geometry. 1: Algebraic curves, algebraic manifolds and schemes (=  Encyclopedia of Mathematical Sciences . Volume 23 ). Springer, Berlin 1994, ISBN 3-540-51995-5 (English).
  • Algebraic curves and their Jacobeans . In: Aleksej N. Parshin, Igor R. Shafarevich (eds.): Algebraic Geometry. 3: Complex algebraic varieties, algebraic curves and their Jacobians (=  Encyclopedia of Mathematical Sciences . Volume 36 ). Springer, Berlin 1998, ISBN 3-540-54681-2 (English).
  • with VA Iskovskikh : Birational models and flips, Russian Math. Surveys, Volume 60, 2005, pp. 27-94
  • Prelimiting flips, Proc. Steklov Institute, Vol. 240, 2003, pp. 75-213
  • 3-fold log flips, Russ. Acad. Sci. Izv. Math., Vol. 40, 1993, pp. 95-202.
  • The nonvanishing theorem, Math. USSR-Izv., Vol. 26, 1986, pp. 591-604
  • On the closed cone of curves of algebraic 3-folds, Math. USSR-Izv., Vol. 24, 1985, pp. 193-198.
  • Prym varieties: theory and applications, Math. USSR-Izv., Vol. 23, 1984, pp. 83-147
  • The existence of a straight line on fano 3-folds, Math. USSR-Izv., Volume 15, 1980, pp. 173-209.
  • Smoothness of the general anticanonical divisor on a fano 3-fold, Math. USSR-Izv., Volume 14, 1980, pp. 395-405.
  • The Noether-Enriques theorem on canonical curves, Math. USSR-Sb., Vol. 15, 1971, pp. 361-403.

Web links

Individual evidence

  1. ↑ Vyacheslav Vladimirovich Schokurow in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Recognition of the Fields Medal for Birkar 2018 by Allyn Jackson, official website of the IMU for the Fields Medal 2018
  3. ↑ THE AMERICAN JOURNAL OF MATHEMATICS. In: www.math.jhu.edu. Retrieved June 18, 2016 .
personal data
SURNAME Shokurov, Vyacheslav Vladimirovich
ALTERNATIVE NAMES Shokurov, Vyacheslav Vladimirovich; Шокуров, Вячеслав Владимирович (Russian)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH May 18, 1950
PLACE OF BIRTH Moscow