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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.13938 |
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| _version_ | 1866917341947756544 |
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| author | Bongiorno, Nicolas |
| author_facet | Bongiorno, Nicolas |
| contents | We explain how to deduce from the multi-height analysis of rational points on a toric stack (respectively on a toric variety) the asymptotic study of the number of rational points of bounded orbifold anticanonical height (respectively bounded anticanonical height), using a general version of the hyperbola method developed by Marta Pieropan and Damaris Schindler. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13938 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The multi-height distribution implies the Batyrev-Manin principle Bongiorno, Nicolas Number Theory 11D45 (Primary), 11G50, 14M25 We explain how to deduce from the multi-height analysis of rational points on a toric stack (respectively on a toric variety) the asymptotic study of the number of rational points of bounded orbifold anticanonical height (respectively bounded anticanonical height), using a general version of the hyperbola method developed by Marta Pieropan and Damaris Schindler. |
| title | The multi-height distribution implies the Batyrev-Manin principle |
| topic | Number Theory 11D45 (Primary), 11G50, 14M25 |
| url | https://arxiv.org/abs/2603.13938 |