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

Abstract

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 subset of $Y$, to an $S$-morphism $Y\to P$, analogous to Zariski's main theorem.

12 pages. Accepted manuscript of a published paper

Cited by in corpus (1)

• Hurwitz moduli varieties parameterizing Galois covers of an algebraic curve