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A class of sheaves satisfying Kodaira's vanishing theorem

Donu Arapura
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Abstract

This paper contains a Kawamata-Viehweg-Kollár 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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Donu Arapura. 2000-03-20. A class of sheaves satisfying Kodaira's vanishing theorem. https://arxiv.org/abs/math/9903137

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