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Mathematics > Number Theory

Title: The submodularity of the covolume function in global function fields

Authors: Gukyeong Bang
(Submitted on 28 Mar 2024 (v1), last revised 24 Apr 2024 (this version, v4))
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.
Comments: 19 pages
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
Cite as: arXiv:2403.19453 [math.NT]
  (or arXiv:2403.19453v4 [math.NT] for this version)

Submission history

From: Gukyeong Bang [view email]
[v1] Thu, 28 Mar 2024 14:22:36 GMT (18kb)
[v2] Sat, 30 Mar 2024 04:03:59 GMT (18kb)
[v3] Thu, 11 Apr 2024 13:57:54 GMT (19kb)
[v4] Wed, 24 Apr 2024 06:56:37 GMT (19kb)
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