Viktor Stepanowitsch Kulikow

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Viktor Stepanowitsch Kulikow ( Russian Виктор Степанович Куликов , English transcription Viktor or Victor Kulikov ; born April 13, 1952 ) is a Russian mathematician.

Victor Kulikov, 2008

Life

Kulikow is a student of Igor Schafarewitsch , with whom he received his doctorate in 1977 at the Steklow Institute ( Degenerations of K3 Surfaces ). In 1992 he completed his habilitation (Russian doctorate). He is a professor and senior scientist at the Steklov Institute in Moscow.

He deals with classical algebraic geometry, especially algebraic surfaces, Alexander polynomials of knot theory for algebraic curves, singularity theory, period maps, fundamental groups, Hurwitz curves and Hurwitz spaces. In his dissertation in 1977 he classified deformations of special algebraic surfaces. In 1999 he proved the Chisini conjecture, which asks whether a smooth projective surface in the projective n-dimensional space is determined by the branching curves of its two-dimensional projections. In 2011 he proved a theorem about the irreducible components in Hurwitz spaces.

He also published with his brother Valentin Stepanowitsch Kulikow .

Fonts

  • with PF Kurchanov Complex algebraic varieties: Periods of integrals and Hodge structures , in: Parshin, Shafarevich (Ed.), Algebraic Geometry 3, Encyclopedia of Mathematical Sciences, Volume 36, 1989, pp. 5-231
  • Hurwitz curves , Russian Math. Surveys, Volume 62, 2007, pp. 1043-1119
  • On Chisini's conjecture , Izv. Math., Vol. 63, 1999, pp. 1139-1170, Part 2, Izv. Math., Vol. 72, 2008, pp. 901-913
  • Factorization semigroups and irreducible components of the Hurwitz space , Izv. Math., Vol. 75, 2011, pp. 711-748
  • Degenerations of K3 surfaces and Enriques surfaces , Uspekhi Mat. Nauka, Volume 32, 1977, pp. 167-168
  • Surjectivity of the period mapping for K3 surfaces , Uspekhi Mat. Nauk, Volume 32, 1977, pp. 257-258
  • Degenerations of K3 surfaces and Enriques surfaces , Math. USSR-Izv., Volume 11, 1977, pp. 957-989

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Kulikow, Viktor Stepanowitsch
ALTERNATIVE NAMES Kulikov, Victor; Kulikov, Viktor; Куликов, Виктор Степанович (Russian spelling)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH April 13, 1952