Endomorphisms of hypersurfaces and other manifolds

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dc.creatorBeauville, A.
dc.date2000-08-28
dc.date.accessioned2026-07-07T04:37:00Z
dc.date.available2026-07-07T04:37:00Z
dc.descriptionWe 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.
dc.description5 pages, Plain TeX
dc.identifierhttps://arxiv.org/abs/math/0008205
dc.identifierhttp://arxiv.org/abs/math/0008205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59805
dc.subjectAlgebraic Geometry
dc.titleEndomorphisms of hypersurfaces and other manifolds
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