The singular support of an $\ell$-adic sheaf
Algebraic Geometry
2024-12-25 v3
Abstract
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 \'etale sheaves with Hansen and Scholze's theory of universal local acyclicity for -adic sheaves.
Cite
@article{arxiv.2309.02587,
title = {The singular support of an $\ell$-adic sheaf},
author = {Owen Barrett},
journal= {arXiv preprint arXiv:2309.02587},
year = {2024}
}
Comments
31 pages. Section 3 reorganized. To appear in the Tunisian Journal of Mathematics