Work

Constructible sheaves are holonomic

Year: 2015

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1505.06768

Author: Beilinson, Alexander

Institution: University of Chicago

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: The singular support of l-adic sheaves; the relative continuous p-adic K-theory and cyclic homology

OpenAlex ID: W2951853712

Cites: 3

Cited by: 6

Related to: 20