Splitting criterion for reflexive sheaves

Details Splitting criterion for reflexive sheaves Splitting criterion for reflexive sheaves

2005-03-30

arxiv.org/abs/math/0503710v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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.

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