Infinite extensions with finitely many CM moduli
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908893600284672 |
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| author | Kawaguchi, Shu Pazuki, Fabien |
| author_facet | Kawaguchi, Shu Pazuki, Fabien |
| contents | We show that there are uncountably many algebraic extensions of $\mathbb{Q}$ containing at most finitely many moduli of CM simple principally polarized abelian varieties of any fixed dimension $g\geqslant1$, generalizing a result of Hultberg in dimension 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16358 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Infinite extensions with finitely many CM moduli Kawaguchi, Shu Pazuki, Fabien Number Theory 11G15, 11G50, 14G40 We show that there are uncountably many algebraic extensions of $\mathbb{Q}$ containing at most finitely many moduli of CM simple principally polarized abelian varieties of any fixed dimension $g\geqslant1$, generalizing a result of Hultberg in dimension 1. |
| title | Infinite extensions with finitely many CM moduli |
| topic | Number Theory 11G15, 11G50, 14G40 |
| url | https://arxiv.org/abs/2603.16358 |