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arXiv · alg-geom/9603012

Vanishing theorems for ample vector bundles

Laurent Manivel
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Abstract

We prove a general vanishing theorem for the cohomology of products of symmetric and skew-symmetric powers of an ample vector bundle on a smooth complex projective variety. Special cases include an extension of classical theorems of Griffiths and Le Potier to the whole Dolbeault cohomology, and an answer to a problem raised by Demailly. An application to degeneracy loci is given.

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Laurent Manivel. 1996-03-14. Vanishing theorems for ample vector bundles. https://doi.org/10.1007/s002220050126

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