Singular systems of linear forms over global function fields
Dynamical Systems
2026-02-23 v2 Number Theory
Abstract
In this paper, we consider singular systems of linear forms over global function fields of class number one and give an upper bound for the Hausdorff dimension of the set of singular systems of linear forms by constructing an appropriate Margulis height function on the space of lattices over global function fields.
Keywords
Cite
@article{arxiv.2404.07752,
title = {Singular systems of linear forms over global function fields},
author = {Gukyeong Bang and Taehyeong Kim and Seonhee Lim},
journal= {arXiv preprint arXiv:2404.07752},
year = {2026}
}
Comments
35 pages. Accepted for publication in Journal of Number Theory