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arXiv · 2603.16358

Infinite extensions with finitely many CM moduli

Shu Kawaguchi·Fabien Pazuki
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Abstract

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.

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Shu Kawaguchi, Fabien Pazuki. 2026-03-17. Infinite extensions with finitely many CM moduli. https://arxiv.org/abs/2603.16358

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