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Théorèmes d'annulation et lieux de dégénérescence en petit corang

Pierre-Emmanuel Chaput
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Abstract

After giving an explicit description of all the non vanishing Dolbeault cohomology groups of ample line bundles on grassmannians, I give two series of vanishing theorems for ample vector bundles on a smooth projective variety. They imply a part of a conjecture by Fulton and Lazarsfeld about the connectivity of some degeneracy loci.

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Pierre-Emmanuel Chaput. 2005-02-07. Théorèmes d'annulation et lieux de dégénérescence en petit corang. https://arxiv.org/abs/math/0502131

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