Swan conductors for p-adic differential modules. II Global variation
نویسندگان
چکیده
منابع مشابه
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...
متن کامل1 M ay 2 00 7 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 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 pro...
متن کامل2 00 6 Swan conductors for p - adic differential modules , I : A local construction
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...
متن کاملSwan conductors for p-adic differential modules, I: A local construction
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...
متن کاملN ov 2 00 6 Swan conductors for p - adic differential modules , I : A local construction Kiran
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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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2010
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s1474748010000137