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The singular support
of an $\ell$-adic sheaf
Owen Barrett |
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Vol. 6 (2024), No. 4, 703–734
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Abstract |
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We define the singular support of an -adic sheaf on a smooth variety over any field. To do this, we combine Beilinson’s construction of the singular support for torsion étale sheaves with Hansen and Scholze’s theory of universal local acyclicity for -adic sheaves. |
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Keywords
singular support, constructible sheaf, $\ell$-adic sheaf,
universal local acyclicity, rational coefficients
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Mathematical Subject Classification
Primary: 14F08, 14F20, 14F45, 14G17
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Milestones
Received: 2 December 2023
Revised: 25 April 2024
Accepted: 10 May 2024
Published: 18 December 2024
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Authors |
| Owen Barrett | |
| Department of Mathematics University of California, Berkeley Berkeley, CA United States |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
