2023arXiv (Cornell University)Open access

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

Owen Barrett

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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 étale sheaves with Hansen and Scholze's theory of universal local acyclicity for $\ell$-adic sheaves.

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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 étale sheaves with Hansen and Scholze's theory of universal local acyclicity for $\ell$-adic sheaves.

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Available 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 étale sheaves with Hansen and Scholze's theory of universal local acyclicity for $\ell$-adic sheaves.

Key concepts: Sheaf, Mathematics, Pure mathematics

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