  Let A be a complete discrete valuation ring with possibly imperfect residue
field, and let $\chi$ be a one-dimensional Galois representation over A. I show
that the non-logarithmic variant of Kato's Swan conductor is the same for
$\chi$ and the pullback of $\chi$ 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.
