Mathematics – Algebraic Geometry
Scientific paper
1996-03-14
Mathematics
Algebraic Geometry
12 pages, LaTeX2e
Scientific paper
10.1007/s002220050126
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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