A class of sheaves satisfying Kodaira's vanishing theorem
Algebraic Geometry
2007-05-23 v3
Abstract
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.
Cite
@article{arxiv.math/9903137,
title = {A class of sheaves satisfying Kodaira's vanishing theorem},
author = {Donu Arapura},
journal= {arXiv preprint arXiv:math/9903137},
year = {2007}
}
Comments
16 pages, latex; fin. revision; to appear in Math. Ann