Reocurrence and weak approximation over geometric global fields
Number Theory
2023-10-05 v1 Algebraic Geometry
Abstract
In this article, we prove a Reocurrence Theorem over function fields of curves over and over finite extensions of the Laurent series field . This provides a partial replacement to Chebotarev's Theorem over such fields. A concrete application to the study of weak approximation for homogeneous spaces under and with finite stabilizers is given at the end of the article.
Cite
@article{arxiv.2310.02788,
title = {Reocurrence and weak approximation over geometric global fields},
author = {Felipe Gambardella},
journal= {arXiv preprint arXiv:2310.02788},
year = {2023}
}