Caract\'erisations des espaces projectifs et des quadriques
Algebraic Geometry
2010-09-13 v2
Abstract
In this paper we prove the following result : if the p-th tensor power of the tangent bundle of a smooth projective variety contains the p-th power of an ample line bundle, then the variety is isomorphic either to the projective space or to a smooth quadric hypersurface.
Cite
@article{arxiv.1009.1247,
title = {Caract\'erisations des espaces projectifs et des quadriques},
author = {Matthieu Paris},
journal= {arXiv preprint arXiv:1009.1247},
year = {2010}
}
Comments
19 pages, french