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Mathematics > Algebraic Geometry

Title: The singular support of an $\ell$-adic sheaf

Authors: Owen Barrett
Abstract: We define the singular support of an $\ell$-adic sheaf on a smooth variety over any field. To do this, we combine Beilinson's construction of the singular support for torsion \'etale sheaves with Hansen and Scholze's theory of universal local acyclicity for $\ell$-adic sheaves.
Comments: 31 pages. Section 3 reorganized. To appear in the Tunisian Journal of Mathematics
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:2309.02587 [math.AG]
  (or arXiv:2309.02587v3 [math.AG] for this version)

Submission history

From: Owen Barrett [view email]
[v1] Tue, 5 Sep 2023 21:23:08 GMT (40kb)
[v2] Tue, 26 Sep 2023 22:00:23 GMT (44kb)
[v3] Sat, 11 May 2024 01:23:39 GMT (44kb)

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