Singular systems of linear forms over global function fields

Fuente: arXiv
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Main Authors: Bang, Gukyeong, Kim, Taehyeong, Lim, Seonhee
Format: Preprint
Published: 2024
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author Bang, Gukyeong
Kim, Taehyeong
Lim, Seonhee
author_facet Bang, Gukyeong
Kim, Taehyeong
Lim, Seonhee
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_07752
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Singular systems of linear forms over global function fields
Bang, Gukyeong
Kim, Taehyeong
Lim, Seonhee
Dynamical Systems
Number Theory
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.
title Singular systems of linear forms over global function fields
topic Dynamical Systems
Number Theory
url https://arxiv.org/abs/2404.07752