S. Orevkov

activity

20152025

most citedCounting lattice triangulations: Fredholm equations in combinatorics

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.AG2025

On mutual arrangements of a plane real curve relative to an $M$ -quartic with an oval-snake

S. Yu. Orevkov, N. D. Puchkova

An oval $O$ of a plane real algebraic quartic curve $S$ is called a snake coiling around a real curve $C_{k}$ of degree $k$ if $O \cup R C_{k}$ is isotopic to $O'\cup\mathbb{R}C_…

math.GT2023

C-boundary links up to six crossings

S. Yu. Orevkov

An oriented link is called $C$ -boundary if it is realizable as $(\partial B, A \cap \partial B)$ where $A$ is an algebraic curve in $C^{2}$ and $B$ is an embedded $4$ -ba…

math.CO2022★ 2 cited

Counting lattice triangulations: Fredholm equations in combinatorics

S. Yu. Orevkov

Let $f (m, n)$ be the number of primitive lattice triangulations of $m \times n$ rectangle. We compute the limits $lim_{n} f (m, n)^{1/ n}$ for $m = 2$ and $3$ . For $m = 2$ we obtain the exac…

math.GT2020

Signatures of iterated torus links

S. Yu. Orevkov

We compute the multivariate signatures of any Seifert link (that is a union of some fibers in a Seifert homology sphere), in particular, of the union of a torus link with one or bo…

math.AG2015

Parametric equations of plane sextic curves with a maximal set of double points

Stean Yu. Orevkov

We give explicit parametric equations for all irreducible plane projective sextic curves which have at most double points and whose total Milnor number is maximal (is equal to 19).…

On mutual arrangements of a plane real curve relative to an M-quartic with an oval-snake

C-boundary links up to six crossings

Counting lattice triangulations: Fredholm equations in combinatorics

Signatures of iterated torus links

Parametric equations of plane sextic curves with a maximal set of double points

On mutual arrangements of a plane real curve relative to an $M$ -quartic with an oval-snake