Cohomological characterizations of projective spaces and hyperquadrics
Algebraic Geometry
2009-11-13 v2
Abstract
We confirm Beauville's conjecture that claims that if the p-th exterior power of the tangent bundle of a smooth projective variety contains the p-th power of an ample line bundle, then the variety is either the projective space or the p-dimensional quadric hypersurface.
Cite
@article{arxiv.0707.4310,
title = {Cohomological characterizations of projective spaces and hyperquadrics},
author = {Carolina Araujo and Stéphane Druel and Sándor J. Kovács},
journal= {arXiv preprint arXiv:0707.4310},
year = {2009}
}
Comments
Added Lemma 2.8 and slightly changed proof of Lemma 6.2 to make them apply for torsion-free sheaves and not only to vector bundles