Rational points on varieties defined by multihomogeneous diagonal forms
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911079801552896 |
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| author | Kim, Doyon Wang, Tian |
| author_facet | Kim, Doyon Wang, Tian |
| contents | We give an asymptotic formula for the number of rational points of bounded height on algebraic varieties defined by systems of multihomogeneous diagonal equations. The proof uses the Hardy-Littlewood circle method and the hyperbola method developed by Blomer and Brüdern. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20878 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational points on varieties defined by multihomogeneous diagonal forms Kim, Doyon Wang, Tian Number Theory 11P55, 11D45, 11D72 (Primary) We give an asymptotic formula for the number of rational points of bounded height on algebraic varieties defined by systems of multihomogeneous diagonal equations. The proof uses the Hardy-Littlewood circle method and the hyperbola method developed by Blomer and Brüdern. |
| title | Rational points on varieties defined by multihomogeneous diagonal forms |
| topic | Number Theory 11P55, 11D45, 11D72 (Primary) |
| url | https://arxiv.org/abs/2507.20878 |