Optimal quantitative weak approximation for projective quadrics
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916240033841152 |
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| author | Huang, Zhizhong Schindler, Damaris Shute, Alec |
| author_facet | Huang, Zhizhong Schindler, Damaris Shute, Alec |
| contents | We derive asymptotic formulas for the number of rational points on a smooth projective quadratic hypersurface of dimension at least three inside of a shrinking adelic open neighbourhood. This is a quantitative version of weak approximation for quadrics and allows us to deduce the best growth rate of the size of such an adelic neighbourhood for which equidistribution is preserved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05592 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal quantitative weak approximation for projective quadrics Huang, Zhizhong Schindler, Damaris Shute, Alec Number Theory We derive asymptotic formulas for the number of rational points on a smooth projective quadratic hypersurface of dimension at least three inside of a shrinking adelic open neighbourhood. This is a quantitative version of weak approximation for quadrics and allows us to deduce the best growth rate of the size of such an adelic neighbourhood for which equidistribution is preserved. |
| title | Optimal quantitative weak approximation for projective quadrics |
| topic | Number Theory |
| url | https://arxiv.org/abs/2405.05592 |