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arXiv · 2405.06369

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

Vassil Kanev
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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.

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Vassil Kanev. 2024-05-10. A criterion for extending morphisms from open subsets of smooth fibrations of algebraic varieties. https://doi.org/10.1016/j.jpaa.2020.106553

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