Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912454920896512 |
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| author | Wilson, Cameron |
| author_facet | Wilson, Cameron |
| contents | We prove asymptotics for the density of everywhere locally soluble diagonal quadric surfaces parameterised by rational points on the split quadric surface $y_0y_1=y_2y_3$ which do not satisfy $-y_0y_1=\square$ nor $-y_0y_3=\square$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11489 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface Wilson, Cameron Number Theory 14G05 (Primary) 11A25, 11D09, 11G99, 11L40 (Secondary) We prove asymptotics for the density of everywhere locally soluble diagonal quadric surfaces parameterised by rational points on the split quadric surface $y_0y_1=y_2y_3$ which do not satisfy $-y_0y_1=\square$ nor $-y_0y_3=\square$. |
| title | Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface |
| topic | Number Theory 14G05 (Primary) 11A25, 11D09, 11G99, 11L40 (Secondary) |
| url | https://arxiv.org/abs/2404.11489 |