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
• DOI: 10.1002/mana.200810103

✦ 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