Cohomological Characterization of Vector Bundles on Grassmannians of Lines

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use this notion to prove some extension of Evans-Griffith criterion to characterize direct sums of line bundles. We also give a cohomological characterization of exterior and symmetric powers of the universal bundles of the Grassmannian.
10 pages, no figures

Keywords

Algebraic Geometry, 14F05, 14J60

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/220231

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.2897
 http://arxiv.org/abs/0902.2897

Collections

arXiv