Mathematics > Algebraic Geometry
[Submitted on 12 Dec 2018 (this version), latest version 27 May 2021 (v3)]
Title:Extending meromorphic connections to coadmissible D-cap-modules
View PDFAbstract:We investigate when a meromorphic connection on a smooth rigid analytic variety $X$ gives rise to a coadmissible $\mathcal{D}_X$-cap-module, and show that this is always the case when the roots of the corresponding $b$-functions are all of positive type. On the other hand, we also give an example of an integrable connection on the punctured unit disk whose pushforward is not a coadmissible module.
Submission history
From: Andreas Bode [view email][v1] Wed, 12 Dec 2018 16:05:59 UTC (16 KB)
[v2] Fri, 25 Jan 2019 11:23:18 UTC (16 KB)
[v3] Thu, 27 May 2021 07:56:38 UTC (17 KB)
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