Semistable reduction for overconvergent, F-isocrystals, III: Local semistable reduction at monomial valuations
Author(s)
Kedlaya, Kiran S.
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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 module, which obeys a convexity property. We then
combine this convexity property with a form of the p-adic local monodromy theorem
for so-called fake annuli.
Date issued
2009-01Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Compositio Mathematica
Publisher
Cambridge University Press / Foundation Compositio Mathematica
Citation
Kiran S. Kedlaya (2009). Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations. Compositio Mathematica, 145, pp 143-172.© Cambridge University Press 2011 ;
© Foundation Compositio Mathematica 2009.
Version: Final published version
ISSN
0010-437X