V. Kulikov

activity

19982025

most citedBraid Monodromy Factorization and Diffeomorphism Types

54 citations · 133 across the 27 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AG2017★ 1 cited

Amazing examples of nonrational smooth spectral surfaces

Viktor S. Kulikov, Alexander Zheglov

In this paper we construct first examples of smooth projective surfaces of general type satisfying the following conditions: there are 1) an ample integral curve $C$ with $C^{2} = 1$ a…

math.AG2017★ 8 cited

The Hesse curve of a Lefschtz pencil of plane curves

Vik. S. Kulikov

We prove that for a generic Lefschetz pencil of plane curves of degree $d \geq 3$ there exists a curve $H$ (called the Hesse curve of the pencil) of degree $6 (d - 1)$ and genus $3(4d^…

math.AG2017★ 2 cited

On the monodromy of the inflection points of plane curves

Vik S. Kulikov

We prove that the monodromy group of the inflection points of plane curves of degree $d$ is the symmetric group $S_{3 d (d - 2)}$ for $d \geq 4$ and in the case $d = 3$ this group…