Thin sets in weighted projective stacks
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866910012972990464 |
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| author | Chan, Stephanie Loughran, Daniel Rome, Nick |
| author_facet | Chan, Stephanie Loughran, Daniel Rome, Nick |
| contents | We prove an upper bound for the number of rational points of bounded height in a weighted projective stack which lie in a given thin subset. As a consequence, we show that $100\%$ of hyperelliptic curves do not admit a prescribed on-trivial level structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05705 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Thin sets in weighted projective stacks Chan, Stephanie Loughran, Daniel Rome, Nick Number Theory Algebraic Geometry 14G05, 14D23 We prove an upper bound for the number of rational points of bounded height in a weighted projective stack which lie in a given thin subset. As a consequence, we show that $100\%$ of hyperelliptic curves do not admit a prescribed on-trivial level structure. |
| title | Thin sets in weighted projective stacks |
| topic | Number Theory Algebraic Geometry 14G05, 14D23 |
| url | https://arxiv.org/abs/2602.05705 |