A class of sheaves satisfying Kodaira's vanishing theorem

Details A class of sheaves satisfying Kodaira's vanishing theorem A class of sheaves satisfying Kodaira's vanishing theorem

1999-03-23

arxiv.org/abs/math/9903137v3

Mathematics

Algebraic Geometry

16 pages, latex; fin. revision; to appear in Math. Ann

Scientific paper

This paper contains a Kawamata-Viehweg-Koll\'ar type vanishing theorem for
vector bundles. In order to formulate and prove this cleanly, we introduce a
class of sheaves that automatically satisfies a vanishing theorem. This is
obtained by closing up the subclass of sheaves of adjoint type under
extensions, direct images, and taking direct summands.

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