Counting rational approximations on rank one flag varieties
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914983237910528 |
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| author | Pfitscher, René |
| author_facet | Pfitscher, René |
| contents | On a generalized flag variety of rank one, we count rational approximations to a real point chosen randomly according to the Riemannian volume. In particular, our results apply to Grassmann varieties and quadric hypersurfaces. The proof uses exponential mixing in the space of lattices and tools from geometry of numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16508 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Counting rational approximations on rank one flag varieties Pfitscher, René Number Theory Dynamical Systems 11J83 (Primary) 37A17, 37A25 (Secondary) On a generalized flag variety of rank one, we count rational approximations to a real point chosen randomly according to the Riemannian volume. In particular, our results apply to Grassmann varieties and quadric hypersurfaces. The proof uses exponential mixing in the space of lattices and tools from geometry of numbers. |
| title | Counting rational approximations on rank one flag varieties |
| topic | Number Theory Dynamical Systems 11J83 (Primary) 37A17, 37A25 (Secondary) |
| url | https://arxiv.org/abs/2410.16508 |