S. Orevkov

collaborators

4 papers

math.CO2024

Asymptotics of the number of lattice triangulations of rectangles of width 4 and 5

Stepan Orevkov

Let $f (m, n)$ be the number of primitive lattice triangulations of an $m \times n$ rectangle. We express the limits $lim_{n} f (m, n)^{1/ n}$ for $m = 4$ and $m = 5$ in terms of certain s…

math.AG2024

Separating semigroup of genus 4 curves

S. Yu. Orevkov

A rational function on a real algebraic curve $C$ is called separating if it takes real values only at real points. Such a function defines a covering $R C \to RP^{1}$ …

math.GT2024

Seifert forms and slice Euler characteristic of links

S. Yu. Orevkov, V. Florens

We define the Witt coindex of a link with non-trivial Alexander polynomial, as a concordance invariant from the Seifert form. We show that it provides an upper bound for the (local…

math.AG2023

On intersection of lemniscates of rational functions

Stepan Orevkov, Fedor Pakovich

For a non-constant complex rational function $P$ , the lemniscate of $P$ is defined as the set of points $z \in C$ such that $∣ P (z) ∣ = 1$ . The lemniscate of $P$ coinc…