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

Vassil Kanev

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

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	225
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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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{\textquoteright}s main theorem.",

author = "Vassil Kanev",

year = "2021",

language = "English",

volume = "225",

pages = "1--10",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

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AB - 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.

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

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