Caractérisations des espaces projectifs et des quadriques

Details Caractérisations des espaces projectifs et des quadriques Caractérisations des espaces projectifs et des quadriques

2010-09-07

arxiv.org/abs/1009.1247v2

Mathematics

Algebraic Geometry

19 pages, french

Scientific paper

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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