Swan conductors for p-adic differential modules, II: Global variation
Author(s)Kedlaya, Kiran S.
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of the Institute of Mathematics of Jussieu
Cambridge University Press
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
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