Characterizations of projective spaces and hyperquadrics
Algebraic Geometry
2010-12-24 v1
Abstract
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.
Cite
@article{arxiv.1012.5238,
title = {Characterizations of projective spaces and hyperquadrics},
author = {Druel Stéphane and Paris Matthieu},
journal= {arXiv preprint arXiv:1012.5238},
year = {2010}
}
Comments
Supersedes the paper arXiv:1009.1247v2 by the second named author