Caractérisations des espaces projectifs et des quadriques

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.

19 pages, french

Cited by in corpus (2)

• Characterizations of Projective Spaces and Hyperquadrics via Positivity Properties of the Tangent Bundle
• Characterizations of projective spaces and hyperquadrics