Kato's conductor and generic residual perfection
| dc.creator | Borger, James M. | |
| dc.date | 2001-12-29 | |
| dc.date | 2002-03-27 | |
| dc.date.accessioned | 2026-07-07T04:45:35Z | |
| dc.date.available | 2026-07-07T04:45:35Z | |
| dc.description | 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. | |
| dc.description | 15 pages. Typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0112306 | |
| dc.identifier | http://arxiv.org/abs/math/0112306 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63006 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11S15 (Primary) 14B99 (Secondary) | |
| dc.title | Kato's conductor and generic residual perfection | |
| dc.type | text |