Swan conductors for p-adic differential modules, II: Global variation
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swan_conductors_for_p-adic_differential_modules_2.pdf
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Author(s)
Kedlaya, Kiran S.
Date Issued
May 2010
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1017/S1474748010000137
