Extending meromorphic connections to coadmissible ̑𝒟-modules

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-06-10 DOI:10.1515/crelle-2021-0025

Thomas Bitoun, Andreas Bode

引用次数: 1

Abstract

Abstract We investigate when a meromorphic connection on a smooth rigid analytic variety 𝑋 gives rise to a coadmissible D⏜X\overparen{\mathcal{D}}_{X}-module, and show that this is always the case when the roots of the corresponding 𝑏-functions are all of positive type. We also use this theory to give an example of an integrable connection on the punctured unit disk whose pushforward is not a coadmissible module.

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将亚纯连接扩展到可容许的𝒟-modules

摘要研究了光滑刚体解析变量𝑋上的亚纯连接何时产生可容许的D⏜X\overparen{\mathcal{D}}_{X}-模，并证明了当相应的𝑏-functions的根都是正型时，这种情况总是成立的。我们还利用这一理论给出了一个推力不是可容许模的穿孔单元盘上的可积连接的例子。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.