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Local monodromy of p-adic differential equations: an overview

Kiran S. Kedlaya
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Abstract

This primarily expository article collects together some facts from the literature about the monodromy of differential equations on a p-adic (rigid analytic) annulus, though often with simpler proofs. These include Matsuda's classification of quasi-unipotent nabla-modules, the Christol-Mebkhout construction of the ramification filtration, and the Christol-Dwork Frobenius antecedent theorem. We also briefly discuss the p-adic local monodromy theorem without proof.

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Kiran S. Kedlaya. 2005-05-23. Local monodromy of p-adic differential equations: an overview. https://arxiv.org/abs/math/0501361

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