Kazuya Kato ; Takeshi Saito - Coincidence of two Swan conductors of abelian characters

epiga:5395 - Épijournal de Géométrie Algébrique, November 11, 2019, Volume 3 - https://doi.org/10.46298/epiga.2019.volume3.5395
Coincidence of two Swan conductors of abelian characters

Authors: Kazuya Kato ; Takeshi Saito

There are two ways to define the Swan conductor of an abelian character of the absolute Galois group of a complete discrete valuation field. We prove that these two Swan conductors coincide.


Volume: Volume 3
Published on: November 11, 2019
Submitted on: April 24, 2019
Keywords: Mathematics - Algebraic Geometry,11S15, 14G20


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