Characterizations of projective spaces and hyperquadrics

Druel Stéphane, Paris Matthieu

Published 2010-12-23Version 1

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.