EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n  − 3 in A k n . 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 a...

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Veröffentlicht in:Transformation groups 2020-06, Vol.25 (2), p.517-575
1. Verfasser: KALIMAN, SHULIM
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Automorphisms
Isomorphism
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Zusammenfassung:Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n  − 3 in A k n . 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).
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-019-09546-3