The submodularity of the covolume function in global function fields
Number Theory
2024-04-25 v4 Dynamical Systems
Abstract
In this paper, we study the submodularity of the covolume function in global function fields. The submodular property is often needed in the study of homogeneous dynamics, especially to define a Margulis function. We proved that the covolume function is submodular when the class group of the global function field is trivial.
Keywords
Cite
@article{arxiv.2403.19453,
title = {The submodularity of the covolume function in global function fields},
author = {Gukyeong Bang},
journal= {arXiv preprint arXiv:2403.19453},
year = {2024}
}
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19 pages