2001/12/29 by James Borger, James M. Borger, Borger, James M. · 1 citation
Engineering · Mathematics · #11S15 (Primary) 14B99 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Laser and Thermal Forming Techniques #Metal Forming Simulation Techniques #Number Theory (math.NT) #math.AG #math.NT #msc:11S15 #msc:14B99
paper · pdf · doi:10.48550/arxiv.math/0112305
13 pages. I've corrected some typos and made some minor changes in exposition
openalex publication_date 2001/12/29 · arxiv created 2002/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.