Endomorphisms of hypersurfaces of Fano manifolds of Picard number 1

Details Endomorphisms of hypersurfaces of Fano manifolds of Picard number 1 Endomorphisms of hypersurfaces of Fano manifolds of Picard number 1

2009-07-21

arxiv.org/abs/0907.3547v1

Mathematics

Algebraic Geometry

to appear in Mathematische Nachrichten

Scientific paper

It is conjectured that a Fano manifold 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 for
hypersurfaces of an arbitrary Fano manifold of Picard number 1.

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