EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

Shulim Kaliman

doi:10.1007/s00031-019-09546-3

EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

Shulim Kaliman

Mathematics

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

Abstract

Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n − 3 in Akn. We find some conditions under which an isomorphism of two closed subvarieties of X can be extended to an automorphism of X. We also study the similar problem for subvarieties of affine quadrics and SL(n, k).

Original language	English (US)
Pages (from-to)	517-575
Number of pages	59
Journal	Transformation Groups
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s00031-019-09546-3
State	Published - Jun 1 2020

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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title = "EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES",

abstract = "Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n − 3 in Akn. We find some conditions under which an isomorphism of two closed subvarieties of X can be extended to an automorphism of X. We also study the similar problem for subvarieties of affine quadrics and SL(n, k).",

author = "Shulim Kaliman",

year = "2020",

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doi = "10.1007/s00031-019-09546-3",

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