6533b82afe1ef96bd128c399

RESEARCH PRODUCT

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

Vassil Kanev

subject

Smooth morphismPure mathematicsAlgebra and Number TheoryAlgebraic varietySmooth fibrationZariski’s main theoremFiberwise birational morphismProper morphismMathematics::Algebraic GeometryMorphismExtending a morphismMathematics::Category TheorySettore MAT/03 - GeometriaMathematics

description

Abstract Given a smooth morphism Y → S and a proper morphism P → S of algebraic varieties we give a sufficient condition for extending an S-morphism U → P , where U is an open subset of Y, to an S-morphism Y → P , analogous to Zariski's main theorem.

yearjournalcountryeditionlanguage
2021-04-01Journal of Pure and Applied Algebra
https://doi.org/10.1016/j.jpaa.2020.106553