English

Effective Brauer-Siegel on some curves in $Y(1)^n$

Number Theory 2026-02-23 v3 Algebraic Geometry

Abstract

We establish an effective version of Siegel's lower bounds for class numbers of imaginary quadratic fields in certain cures in Y(1)nY(1)^n. Our proof goes through the G-functions method of Yves Andr\'e.

Keywords

Cite

@article{arxiv.2310.04943,
  title  = {Effective Brauer-Siegel on some curves in $Y(1)^n$},
  author = {Georgios Papas},
  journal= {arXiv preprint arXiv:2310.04943},
  year   = {2026}
}

Comments

Version accepted for publication by Math. Annalen