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Splitting criterion for reflexive sheaves

Takuro Abe·Masahiko Yoshinaga
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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.

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Takuro Abe, Masahiko Yoshinaga. 2005-03-30. Splitting criterion for reflexive sheaves. https://arxiv.org/abs/math/0503710

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