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

Arun Soor

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arXiv · 2409.07592

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

Arun Soor

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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.

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Arun Soor. 2024-09-11. A six-functor formalism for quasi-coherent sheaves and stratifications on rigid-analytic varieties. https://arxiv.org/abs/2409.07592

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