Sommese Vanishing for non-compact manifolds
Abstract
The Kodaira-Nakano Vanishing Theorem has been generalized to the relative setting by A. Sommese. We prove a version of this theorem for non-compact manifolds. As an apllication, we prove that the cohomology of a fiber of a symplectic contraction is trivial in odd degrees and pure Hodge-Tate in even degrees.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- December 2003
- DOI:
- arXiv:
- arXiv:math/0312271
- Bibcode:
- 2003math.....12271K
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- No changes. Replacement is done just to add comments, which are: the preprint is left intact for historical reasons (there are references to it in other papers)