Cohomological characterizations of projective spaces and hyperquadrics

Details Cohomological characterizations of projective spaces and hyperquadrics Cohomological characterizations of projective spaces and hyperquadrics

2007-07-30

arxiv.org/abs/0707.4310v2

Mathematics

Algebraic Geometry

Added Lemma 2.8 and slightly changed proof of Lemma 6.2 to make them apply for torsion-free sheaves and not only to vector bun

Scientific paper

10.1007/s00222-008-0130-1

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.

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