Preprint A548/2007
Cohomological characterizations of projective spaces and hyperquadrics
Sándor Kovács | Araujo, Carolina | Druel , Stéphane
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.