Extending meromorphic connections to coadmissible ̑𝒟-modules
2021 ◽
Vol 0
(0)
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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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2010 ◽
Vol 22
(4)
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pp. 663-673
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