V. Kanev

activity

19932024

most citedIrreducibility of Hurwitz spaces

23 citations · 66 across the 11 of their papers we have counts for

collaborators

11 papers

math.AG2024★ 2 cited

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…

math.AG2024

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.AG2022

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.AG2011★ 3 cited

Unirationality of Hurwitz spaces of coverings of degree <= 5

Vassil Kanev

Let $Y$ be a smooth, projective curve of genus $g \geq 1$ over the complex numbers. Let $H_{d, A}^{0} (Y)$ be the Hurwitz space which parametrizes coverings $p : X \to Y$ of degree $d$ , s…

math.AG2007★ 1 cited

Polarization types of isogenous Prym-Tyurin varieties

Vassil Kanev, Herbert Lange

Let p:C-->Y be a covering of smooth, projective curves which is a composition of π:C-->C' of degree 2 and g:C'-->Y of degree n. Let f:X-->Y be the covering of degree 2^n, where the…

math.AG2005★ 23 cited

Irreducibility of Hurwitz spaces

Vassil Kanev

Graber, Harris and Starr proved, when n >= 2d, the irreducibility of the Hurwitz space H^0_{d,n}(Y) which parametrizes degree d coverings of a smooth, projective curve Y of positiv…