2006/06/06 by Sérgio Mendes, Sergio Mendes, Mendes, Sergio +2
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #22E50 #46L80 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #K-Theory and Homology (math.KT) #Pharmacological Effects of Natural Compounds #Representation Theory (math.RT) #math.KT #math.RT #msc:22E50 #msc:46L80
paper · pdf · doi:10.48550/arxiv.math/0606135
20 pages. Completely rewritten, much more concise
openalex publication_date 2006/06/06 · arxiv created 2007/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let F be a nonarchimedean local field and let G = GL(n) = GL(n,F). Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level of K-theory. We put special emphasis on the representations with Iwahori fixed vectors, and the tempered spectrum of GL(1) and GL(2). In this context, the prominent arithmetic invariant is the residue degree f(E/F).