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- W2950192364 abstract "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 establish analogues of some key properties of the usual Swan conductor, such as integrality (the Hasse-Arf theorem), and the fact that the graded pieces of the associated ramification filtration on Galois groups are abelian and killed by p." @default.
- W2950192364 created "2019-06-27" @default.
- W2950192364 creator A5036080574 @default.
- W2950192364 date "2006-11-27" @default.
- W2950192364 modified "2023-09-27" @default.
- W2950192364 title "Swan conductors for p-adic differential modules, I: A local construction" @default.
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