Adelic double cosets over semi-global fields
Number Theory
2021-11-09 v1 Algebraic Geometry
Abstract
Double coset spaces of adelic points on linear algebraic groups arise in the study of global fields; e.g., concerning local-global principles and torsors. A different type of double coset space plays a role in the study of semi-global fields such as p-adic function fields. This paper relates the two, by establishing adelic double coset spaces over semi-global fields; relating them to local-global principles and torsors; and providing explicit examples.
Cite
@article{arxiv.2111.04258,
title = {Adelic double cosets over semi-global fields},
author = {David Harbater},
journal= {arXiv preprint arXiv:2111.04258},
year = {2021}
}
Comments
17 pages