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|a Kedlaya, Kiran S.
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Kedlaya, Kiran S.
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|a Kedlaya, Kiran S.
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|a Swan conductors for p-adic differential modules, II: Global variation
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|b Cambridge University Press,
|c 2011-05-18T18:22:12Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/62832
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|a 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.
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|a Clay Mathematics Institute
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|a National Science foundation (U.S.) (Grant DMS-0400727)
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|a National Science foundation (U.S.) (CAREER grant DMS-0545904)
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|a Alfred P. Sloan Foundation
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|a NEC Research Support Fund
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|a en_US
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|a Article
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|t Journal of the Institute of Mathematics of Jussieu
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