Kato, Kazuya and Saito, Takeshi
-
Coincidence of two Swan conductors of abelian characters
epiga:5395 -
Épijournal de Géométrie Algébrique,
November 11, 2019,
Volume 3
Coincidence of two Swan conductors of abelian characters
Authors: Kato, Kazuya and Saito, Takeshi
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.