Drinfeld modules as noncommutative tori
Number Theory
2024-01-30 v2 Operator Algebras
Abstract
The Drinfeld module is a tool of the explicit class field theory for the function fields. We first observe a similarity of such modules with the noncommutative tori, and then use it to develop an explicit class field theory for the number fields. The case of the imaginary quadratic number fields is treated in detail.
Keywords
Cite
@article{arxiv.2306.06416,
title = {Drinfeld modules as noncommutative tori},
author = {Igor V. Nikolaev},
journal= {arXiv preprint arXiv:2306.06416},
year = {2024}
}
Comments
12 pages, an update