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

2024/09/11 by Soor, Arun
#14F06 #14F08 #14G22 (Primary) 14F10 #18N60 (Secondary) #32C35 #32C38 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2409.07592

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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