Kato's conductor and generic residual perfection
Abstract
Let A be a complete discrete valuation ring with possibly imperfect residue field, and let be a one-dimensional Galois representation over A. I show that the non-logarithmic variant of Kato's Swan conductor is the same for and the pullback of 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.