S. Orevkov

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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.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…