Integral points of bounded height on quintic del Pezzo surfaces over number fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912376670912512 |
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| author | Bernert, Christian Derenthal, Ulrich |
| author_facet | Bernert, Christian Derenthal, Ulrich |
| contents | We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10077 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral points of bounded height on quintic del Pezzo surfaces over number fields Bernert, Christian Derenthal, Ulrich Number Theory Algebraic Geometry 11G35 (Primary) 11D45, 14G05 (Secondary) We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor. |
| title | Integral points of bounded height on quintic del Pezzo surfaces over number fields |
| topic | Number Theory Algebraic Geometry 11G35 (Primary) 11D45, 14G05 (Secondary) |
| url | https://arxiv.org/abs/2505.10077 |