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arXiv 2010-09-07 0 views

Caractérisations des espaces projectifs et des quadriques

Paris, Matthieu

Original · EN

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.

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