Splitting criterion for reflexive sheaves
classification
🧮 math.AG
math.ACmath.CO
keywords
reflexivecriterionhyperplanesheavesapplicationarrangementsbundlesdirect
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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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