将亚纯连接扩展到可容许的𝒟-modules

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2021-06-10 DOI:10.1515/crelle-2021-0025

Thomas Bitoun, Andreas Bode

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引用次数: 1

摘要

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。

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Extending meromorphic connections to coadmissible ̑𝒟-modules

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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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.