On automorphisms and endomorphisms of projective varieties
Algebraic Geometry
2013-12-23 v3
Abstract
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).
Cite
@article{arxiv.1304.7472,
title = {On automorphisms and endomorphisms of projective varieties},
author = {Michel Brion},
journal= {arXiv preprint arXiv:1304.7472},
year = {2013}
}
Comments
Minor corrections and additions. Final version, to appear in the proceedings of the conference "Groups of automorphisms in birational and affine geometry"