Vanishing theorems for ample vector bundles
alg-geom
2009-10-28 v1 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9603012,
title = {Vanishing theorems for ample vector bundles},
author = {Laurent Manivel},
journal= {arXiv preprint arXiv:alg-geom/9603012},
year = {2009}
}
Comments
12 pages, LaTeX2e