Abelian class groups of reductive group schemes
Number Theory
2012-02-21 v4 Algebraic Geometry
Abstract
We introduce the abelian class group C_{ab}(G) of a reductive group scheme G over a ring A of arithmetical interest and study some of its properties. In particular, we show that if the fraction field of A is a global field without real primes, then there exists a surjection C(G)-->> C_{ab}(G), where C(G) is the class set of G.
Cite
@article{arxiv.1108.3264,
title = {Abelian class groups of reductive group schemes},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:1108.3264},
year = {2012}
}
Comments
33 pages. Final version accepted for publication