\wideparen{𝒟}-modules on rigid analytic spaces II: Kashiwara’s equivalence

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2018-07-19 DOI:10.1090/JAG/709

K. Ardakov, S. Wadsley

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引用次数: 4

Abstract

Let X X be a smooth rigid analytic space. We prove that the category of co-admissible \wideparen {\mathcal {D}_X}-modules supported on a closed smooth subvariety Y Y of X X is naturally equivalent to the category of co-admissible \wideparen {\mathcal {D}_Y}-modules and use this result to construct a large family of pairwise non-isomorphic simple co-admissible \wideparen {\mathcal {D}_X}-modules.

查看原文本刊更多论文

刚性解析空间上的\ widdeparen{}-模II: Kashiwara的等价性

设X X是一个光滑的刚性分析空间。我们证明了共容许宽括号的范畴{D}_X}-X X的闭光滑子变种Y Y上支持的模自然等价于共容许宽括号的范畴{D}_Y}-模，并利用这个结果来构造一个大的成对非同构简单共容许\宽paren｛\mathcal族{D}_X}-模块。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.