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Differential modules on p-adic polyannuli

By Kiran S. Kedlaya and Liang Xiao

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

Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.313.322
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