arXiv subjects

Gukyeong Bang

Publications and source records attributed to Gukyeong Bang.

2 recordsLinked to original sources

arXiv2024

The submodularity of the covolume function in global function fields

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.

math.NT↗

arXiv2024

Singular systems of linear forms over global function fields

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.

math.DS↗