Kato's conductor and generic residual perfection

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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" (math.NT/0112305) extends the non-logarithmic variant of Kato's.
15 pages. Typos corrected

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Number Theory, Algebraic Geometry, 11S15 (Primary) 14B99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/63006

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112306
 http://arxiv.org/abs/math/0112306

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arXiv