A K-theoretic approach to Artin maps
K-Theory and Homology
2017-04-04 v2 Number Theory
Abstract
We define a functorial "Artin map" attached to any small -linear stable -category, which in the case of perfect complexes over a global field recovers the usual Artin map from the idele class group to the abelianized absolute Galois group. In particular, this gives a new proof of the Artin reciprocity law.
Keywords
Cite
@article{arxiv.1703.07842,
title = {A K-theoretic approach to Artin maps},
author = {Dustin Clausen},
journal= {arXiv preprint arXiv:1703.07842},
year = {2017}
}