Endomorphisms of hypersurfaces and other manifolds

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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.
5 pages, Plain TeX

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/59805

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008205
 http://arxiv.org/abs/math/0008205

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arXiv