A six-functor formalism for quasi-coherent sheaves and stratifications on rigid-analytic varieties

Fuente: arXiv
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Autor principal: Soor, Arun
Formato: Preprint
Publicado: 2024
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author Soor, Arun
author_facet Soor, Arun
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_07592
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A six-functor formalism for quasi-coherent sheaves and stratifications on rigid-analytic varieties
Soor, Arun
Number Theory
Algebraic Geometry
14G22 (Primary) 14F10, 32C35, 32C38, 14F06, 14F08, 18N60 (Secondary)
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.
title A six-functor formalism for quasi-coherent sheaves and stratifications on rigid-analytic varieties
topic Number Theory
Algebraic Geometry
14G22 (Primary) 14F10, 32C35, 32C38, 14F06, 14F08, 18N60 (Secondary)
url https://arxiv.org/abs/2409.07592