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arXiv · 0707.4310

Cohomological characterizations of projective spaces and hyperquadrics

Carolina Araujo·Stéphane Druel·Sándor J. Kovács
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Abstract

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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Carolina Araujo, Stéphane Druel, Sándor J. Kovács. 2007-10-09. Cohomological characterizations of projective spaces and hyperquadrics. https://doi.org/10.1007/s00222-008-0130-1

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