Division Algebras and Quadratic Reciprocity
Rings and Algebras
2024-07-08 v1 Algebraic Geometry
Abstract
The Grothendieck and Artin-Mumford exact sequences for the Brauer group of a function field in 1 or 2 variables are applied to derive reciprocity laws for th power residues.
Keywords
Cite
@article{arxiv.2407.03447,
title = {Division Algebras and Quadratic Reciprocity},
author = {Timothy J. Ford},
journal= {arXiv preprint arXiv:2407.03447},
year = {2024}
}