English

Bounded diagonal orbits in homogeneous spaces over function fields

Dynamical Systems 2025-06-06 v3

Abstract

This paper is about topological rigidity of diagonal group actions on the homogeneous \SL4(\F( ⁣(t1) ⁣))/\SL4(\F[t])\SL_4\big(\F(\!(t^{-1})\!)\big)/\SL_4(\F[t]) where \F\F is a finite field of characteristic 33. We show that there is a non-closed relatively compact orbit of the diagonal group.

Keywords

Cite

@article{arxiv.2504.17644,
  title  = {Bounded diagonal orbits in homogeneous spaces over function fields},
  author = {Qianlin Huang and Ronggang Shi},
  journal= {arXiv preprint arXiv:2504.17644},
  year   = {2025}
}
R2 v1 2026-06-28T23:10:05.681Z