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Endomorphisms of hypersurfaces of Fano manifolds of Picard number 1

✍ Scribed by Insong Choe


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
69 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

It is conjectured that a Fano manifold X of Picard number 1 which is not a projective space admits no endomorphisms of degree bigger than 1. Beauville confirmed this for hypersurfaces of projective space. We study this problem when X is given by a hypersurface of an arbitrary Fano manifold of Picard number 1. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim


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