Endomorphisms of hypersurfaces and other manifolds
Algebraic Geometry
2007-05-23 v1
Abstract
We prove that a smooth hypersurface of degree >2 and dimension >1 admits no endomorphism of degree >1 (for hyperquadrics this is due to Paranjape and Srinivas). We then collect some general results on endomorphisms of projective manifolds; we prove in particular that ramified endomorphisms occur only on varieties of negative Kodaira dimension, and we classify those Del Pezzo surfaces which admit such endomorphism.
Cite
@article{arxiv.math/0008205,
title = {Endomorphisms of hypersurfaces and other manifolds},
author = {A. Beauville},
journal= {arXiv preprint arXiv:math/0008205},
year = {2007}
}
Comments
5 pages, Plain TeX