Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910946295808000 |
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| author | Derenthal, Ulrich Wilsch, Florian |
| author_facet | Derenthal, Ulrich Wilsch, Florian |
| contents | Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analogue of Iitaka fibrations, which have not yet been adequately formulated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10245 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds Derenthal, Ulrich Wilsch, Florian Number Theory Algebraic Geometry 11D45 (14G05, 14M27, 11G35) Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analogue of Iitaka fibrations, which have not yet been adequately formulated. |
| title | Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds |
| topic | Number Theory Algebraic Geometry 11D45 (14G05, 14M27, 11G35) |
| url | https://arxiv.org/abs/2505.10245 |