Characterizations of projective spaces and hyperquadrics

Details Characterizations of projective spaces and hyperquadrics Characterizations of projective spaces and hyperquadrics

2010-12-23

arxiv.org/abs/1012.5238v1

Mathematics

Algebraic Geometry

Supersedes the paper arXiv:1009.1247v2 by the second named author

Scientific paper

In this paper we prove that if the r-th tensor power of the tangent bundle of
a smooth projective variety X contains the determinant of an ample vector
bundle of rank at least r, then X is isomorphic either to a projective space or
to a smooth quadric hypersurface.

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