Bounded diagonal orbits in homogeneous spaces over function fields
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913876432388096 |
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| author | Huang, Qianlin Shi, Ronggang |
| author_facet | Huang, Qianlin Shi, Ronggang |
| contents | This paper is about topological rigidity of diagonal group actions on the homogeneous $\SL_4\big(\F(\!(t^{-1})\!)\big)/\SL_4(\F[t])$ where $\F$ is a finite field of characteristic $3$. We show that there is a non-closed relatively compact orbit of the diagonal group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17644 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded diagonal orbits in homogeneous spaces over function fields Huang, Qianlin Shi, Ronggang Dynamical Systems This paper is about topological rigidity of diagonal group actions on the homogeneous $\SL_4\big(\F(\!(t^{-1})\!)\big)/\SL_4(\F[t])$ where $\F$ is a finite field of characteristic $3$. We show that there is a non-closed relatively compact orbit of the diagonal group. |
| title | Bounded diagonal orbits in homogeneous spaces over function fields |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2504.17644 |