Swan conductors for p-adic differential modules , I : A local construction

  title={Swan conductors for p-adic differential modules , I : A local construction},
  author={Kiran S. Kedlaya},
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… CONTINUE READING

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