Semi-integral points of bounded height on toric varieties
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916421589532672 |
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| author | Shute, Alec Streeter, Sam |
| author_facet | Shute, Alec Streeter, Sam |
| contents | We prove asymptotics for semi-integral points of bounded height on toric varieties. We verify the Manin-type conjecture of Pieropan, Smeets, Tanimoto and Várilly-Alvarado for smooth and certain singular toric orbifolds upon replacing the leading constant with the one predicted by Chow, Loughran, Takloo-Bighash and Tanimoto. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02039 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semi-integral points of bounded height on toric varieties Shute, Alec Streeter, Sam Number Theory Algebraic Geometry 14G05 (Primary) 11D45, 14G10, 11D57 (Secondary) We prove asymptotics for semi-integral points of bounded height on toric varieties. We verify the Manin-type conjecture of Pieropan, Smeets, Tanimoto and Várilly-Alvarado for smooth and certain singular toric orbifolds upon replacing the leading constant with the one predicted by Chow, Loughran, Takloo-Bighash and Tanimoto. |
| title | Semi-integral points of bounded height on toric varieties |
| topic | Number Theory Algebraic Geometry 14G05 (Primary) 11D45, 14G10, 11D57 (Secondary) |
| url | https://arxiv.org/abs/2410.02039 |