Splitting criterion for reflexive sheaves
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Combinatorics
Abstract
The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into a direct sum of line bundles. An application to the theory of free hyperplane arrangements is also given.
Keywords
Cite
@article{arxiv.math/0503710,
title = {Splitting criterion for reflexive sheaves},
author = {Takuro Abe and Masahiko Yoshinaga},
journal= {arXiv preprint arXiv:math/0503710},
year = {2007}
}
Comments
13 pages