Infinite extensions with finitely many CM moduli
Number Theory
2026-03-18 v1
Abstract
We show that there are uncountably many algebraic extensions of containing at most finitely many moduli of CM simple principally polarized abelian varieties of any fixed dimension , generalizing a result of Hultberg in dimension 1.
Cite
@article{arxiv.2603.16358,
title = {Infinite extensions with finitely many CM moduli},
author = {Shu Kawaguchi and Fabien Pazuki},
journal= {arXiv preprint arXiv:2603.16358},
year = {2026}
}