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Swan conductors for p-adic differential modules, II: Global variation

Author(s)
Kedlaya, Kiran S.
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Abstract
Using a local construction from a previous paper, we exhibit a numerical invariant, the differential Swan conductor, for an isocrystal on a variety over a perfect field of positive characteristic overconvergent along a boundary divisor; this leads to an analogous construction for certain p-adic and l-adic representations of the étale fundamental group of a variety. We then demonstrate some variational properties of this definition for overconvergent isocrystals, paying special attention to the case of surfaces.
Date issued
2010-05
URI
http://hdl.handle.net/1721.1/62832
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Journal of the Institute of Mathematics of Jussieu
Publisher
Cambridge University Press
Citation
Kedlaya, Kiran S. “Swan conductors for p-adic differential modules. II Global variation.” Journal of the Institute of Mathematics of Jussieu 10.01 (2010) : 191-224. Copyright © Cambridge University Press 2010
Version: Final published version
ISSN
1475-3030

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