刚性解析变体上准相干剪切和晶体的六矢量形式主义

arXiv - MATH - Number Theory Pub Date : 2024-09-11 DOI:arxiv-2409.07592

Arun Soor

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摘要

我们发展了派生刚性空间理论以及在其上的准相干剪切和解析晶体。除其他外，我们还得到了这些准相干剪和解析晶体的六矢量形式主义。我们提供了证据，证明解析晶体范畴与阿尔达科夫-瓦兹利引入的D-盖模块理论有关。

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

We develop a theory of derived rigid spaces and quasi-coherent sheaves and analytic crystals on them. Amongst other things, we obtain a six-functor formalism for these quasi-coherent sheaves and analytic crystals. 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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arXiv - MATH - Number Theory

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