Kato’s Conductor and Generic Residual Perfection
نویسنده
چکیده
Let A be a complete discrete valuation ring with possibly imperfect residue field, and let χ be a one-dimensional Galois representation over A. I show that the non-logarithmic variant of Kato’s Swan conductor is the same for χ and the pullback of χ to the generic residual perfection of A. This implies the conductor from “Conductors and the moduli of residual perfection” [4] extends the non-logarithmic variant of Kato’s.
منابع مشابه
Conductors and the Moduli of Residual Perfection
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