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arXiv · 2404.07752

Singular systems of linear forms over global function fields

Gukyeong Bang·Taehyeong Kim·Seonhee Lim
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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.

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Gukyeong Bang, Taehyeong Kim, Seonhee Lim. 2024-04-11. Singular systems of linear forms over global function fields. https://arxiv.org/abs/2404.07752

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