Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations

We resolve the local semistable reduction problem for overconvergent F-isocrystals at monomial valuations (Abhyankar valuations of height 1 and residue transcendence degree zero). We first introduce a higher-dimensional analogue of the generic radius of convergence for a p-adic differential modu...

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Bibliographic Details
Main Author: Kedlaya, Kiran S.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Cambridge University Press / Foundation Compositio Mathematica 2011
Online Access:http://hdl.handle.net/1721.1/62306