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arXiv · 1505.06768

Constructible sheaves are holonomic

Alexander Beilinson
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Abstract

We show that for any constructible sheaf F on a smooth algebraic variety X over a field of arbitrary characteristic its singular support SS(F) is equidimensional of dimension dim X. Here SS(F) is the minimal closed subset of the cotangent bundle of X such that every (local) function on X with df(X) disjoint from SS(F) is locally acyclic relative to F.

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Alexander Beilinson. 2015-05-25. Constructible sheaves are holonomic. https://arxiv.org/abs/1505.06768

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