1 M ay 2 00 7 Swan conductors for p - adic differential modules , II : Global variation
نویسنده
چکیده
Using a local construction from a previous paper, we exhibit a numerical invariant, the differential Swan conductor, for an overconvergent isocrystal on a variety over a perfect field of positive characteristic along a boundary divisor; this leads to an analogous construction for certain p-adic representations of the étale fundamental group of a variety. We then demonstrate some variational properties of this definition for F isocrystals; for surfaces, these properties can be interpreted as subharmonicity and monotonicity properties on a suitable valuation space.
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Swan conductors for p-adic differential modules, II: Global variation
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 vari...
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We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a conductor for p-adic Galois representations with finite local monodromy over an equal characteristic discretely valued field, which agrees with the usual Swan conductor when the residue field is perfect.
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We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a conductor for p-adic Galois representations with finite local monodromy over an equal characteristic discretely valued field, which agrees with the usual Swan conductor when the residue field is perfect. We also establis...
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We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a conductor for p-adic Galois representations with finite local monodromy over an equal characteristic discretely valued field, which agrees with the usual Swan conductor when the residue field is perfect. We also establis...
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