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arXiv:1304.7472 [math.AG]AbstractReferencesReviewsResources

On automorphisms and endomorphisms of projective varieties

Michel Brion

Published 2013-04-28, updated 2013-12-20Version 3

We first show that any connected algebraic group over a perfect field is the neutral component of the automorphism group scheme of some normal projective variety. Then we show that very few connected algebraic semigroups can be realized as endomorphisms of some projective variety X, by describing the structure of all connected subsemigroup schemes of End(X).

Comments: Minor corrections and additions. Final version, to appear in the proceedings of the conference "Groups of automorphisms in birational and affine geometry"
Categories: math.AG
Subjects: 14L10, 14L15, 14L30, 20M32
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