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arXiv:2403.19453 [math.NT]AbstractReferencesReviewsResources

The submodularity of the covolume function in global function fields

Gukyeong Bang

Published 2024-03-28Version 1

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.

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