Conductors and the moduli of 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. The purpose of this paper is to give a notion of conductor for Galois representations over A that generalizes the classical Artin conductor. The definition rests on two general results: there is a moduli space that parametrizes the ways of modifying A so that its residue field is perfect, and any information about a Galois-theoretic object over A can be recovered from its pullback to the (residually perfect) discrete valuation ring corresponding to the generic point of this moduli space. | |
| dc.description | 13 pages. I've corrected some typos and made some minor changes in exposition | |
| dc.identifier | https://arxiv.org/abs/math/0112305 | |
| dc.identifier | http://arxiv.org/abs/math/0112305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63005 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11S15 (Primary) 14B99 (Secondary) | |
| dc.title | Conductors and the moduli of residual perfection | |
| dc.type | text |