V. Kanev

collaborators

3 papers

math.AG2025

Hurwitz moduli varieties parameterizing pointed covers of an algebraic curve with a fixed monodromy group

Vassil Kanev

Given a smooth, projective curve $Y$ , a point $y_{0} \in Y$ , a positive integer $n$ , and a transitive subgroup $G$ of the symmetric group $S_{d}$ we study smooth, proper families, pa…

math.AG2024

Hurwitz moduli varieties parameterizing Galois covers of an algebraic curve

Vassil Kanev

Given a smooth, projective curve $Y$ , a finite group $G$ and a positive integer $n$ we study smooth, proper families $X \to Y \times S \to S$ of Galois covers of $Y$ with Galois group…

math.AG2024

A criterion for extending morphisms from open subsets of smooth fibrations of algebraic varieties

Vassil Kanev

Given a smooth morphism $Y \to S$ and a proper morphism $P \to S$ of algebraic varieties we give a sufficient condition for extending an $S$ -morphism $U \to P$ , where $U$ is an open s…