Carolina Araujo, Stéphane Druel, Sándor J. Kovács
Published 2007-07-30, updated 2007-10-09Version 2
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.
Comments: 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 bundles
Martens-Mumford's Theorems for Brill-Noether Schemes arising from Very Ample Line Bundles
Ample line bundles, global generation and $K_0$ on quasi-projective derived schemes
Okounkov bodies for ample line bundles with applications to multiplicities for group representations
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