A six-functor formalism for quasi-coherent sheaves and stratifications on rigid-analytic varieties
Number Theory
2025-09-22 v2 Algebraic Geometry
Abstract
We develop a theory of derived rigid spaces and quasi-coherent sheaves and analytic "stratifications" on them. Amongst other things, we obtain a six-functor formalism for these quasi-coherent sheaves and analytic stratifications. We provide evidence that the category of analytic crystals is related to the theory of D-cap-modules introduced by Ardakov--Wadsley.
Keywords
Cite
@article{arxiv.2409.07592,
title = {A six-functor formalism for quasi-coherent sheaves and stratifications on rigid-analytic varieties},
author = {Arun Soor},
journal= {arXiv preprint arXiv:2409.07592},
year = {2025}
}
Comments
79 pages, v2: Substantially revised. Added section on homotopical algebra in quasi-abelian categories