Holonomic \'etale sheaves are constructible
Algebraic Geometry
2024-10-08 v1
Abstract
Building on Beilinson's work, ``constructible sheaves are holonomic,'' we introduce the notion of holonomicity for \'etale sheaves, without assuming a priori constructibility. Over a perfect base field, we establish the converse of Beilinson's result, showing that holonomic sheaves are indeed constructible. This can be seen as an \'etale analogue of Kashiwara's theorem on holonomic -modules.
Cite
@article{arxiv.2410.04677,
title = {Holonomic \'etale sheaves are constructible},
author = {Ahmed Abbes and Takeshi Saito},
journal= {arXiv preprint arXiv:2410.04677},
year = {2024}
}
Comments
12 pages