Counting integral points in homogeneous spaces over function fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866917405317398528 |
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| author | Chen, Sheng Liu, Jing |
| author_facet | Chen, Sheng Liu, Jing |
| contents | We establish the asymptotic formula for the number of integral points in non-compact symmetric homogeneous spaces of semi-simple simply connected algebraic groups over global function fields, given by the sum of the products of local densities twisted by suitable Brauer elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06983 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting integral points in homogeneous spaces over function fields Chen, Sheng Liu, Jing Number Theory Algebraic Geometry We establish the asymptotic formula for the number of integral points in non-compact symmetric homogeneous spaces of semi-simple simply connected algebraic groups over global function fields, given by the sum of the products of local densities twisted by suitable Brauer elements. |
| title | Counting integral points in homogeneous spaces over function fields |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2510.06983 |