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arXiv · 0804.1495

Differential modules on p-adic polyannuli

Kiran S. Kedlaya·Liang Xiao
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Abstract

We consider variational properties of some numerical invariants, measuring convergence of local horizontal sections, associated to differential modules on polyannuli over a nonarchimedean field of characteristic zero. This extends prior work in the one-dimensional case of Christol, Dwork, Robba, Young, et al. Our results do not require positive residue characteristic; thus besides their relevance to the study of Swan conductors for isocrystals, they are germane to the formal classification of flat meromorphic connections on complex manifolds.

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Kiran S. Kedlaya, Liang Xiao. 2008-12-16. Differential modules on p-adic polyannuli. https://arxiv.org/abs/0804.1495

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