A Microlocal Theory for Zariski-Constructible Sheaves on Rigid Analytic Varieties
Algebraic Geometry
2025-07-25 v1
Abstract
We develop a microlocal theory, in the sense of Kashiwara-Schapira, for Zariski-constructible sheaves on rigid analytic varieties. We define and study monodromic sheaves, the monodromic Fourier transform, specialisation, microlocalisation, micro-hom, and singular support in this context. Some questions and conjectures are formulated in the end. The appendix contains infinity-categorical characterisations of monodromic sheaves.
Cite
@article{arxiv.2507.18604,
title = {A Microlocal Theory for Zariski-Constructible Sheaves on Rigid Analytic Varieties},
author = {Tong Zhou},
journal= {arXiv preprint arXiv:2507.18604},
year = {2025}
}
Comments
30 pages. Comments welcome