Sommese Vanishing for non-compact manifolds

Details Sommese Vanishing for non-compact manifolds Sommese Vanishing for non-compact manifolds

2003-12-12

arxiv.org/abs/math/0312271v3

Mathematics

Algebraic Geometry

No changes. Replacement is done just to add comments, which are: the preprint is left intact for historical reasons (there are

Scientific paper

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.

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