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arXiv · 2309.02587

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

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Owen Barrett. 2023-09-05. The singular support of an $\ell$-adic sheaf. https://doi.org/10.2140/tunis.2024.6.703

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