Linear Equations in Singular Moduli

authored by

Yuri Bilu, Lars Kuhne

Abstract

We establish an effective version of the André-Oort conjecture for linear subspaces of $Y(1)^n_{\mathbb{C}} \approx \mathbb{A}_{\mathbb{C}}^n$. This gives the first effective nontrivial results of André-Oort type for higher-dimensional varieties in products of modular curves.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Universite de Bordeaux

Type

Article

Journal

International Mathematics Research Notices

Volume

2020

Pages

7617-7643

No. of pages

27

ISSN

1073-7928

Publication date

01.11.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://doi.org/10.48550/arXiv.1712.04027 (Access: Open)
https://doi.org/10.1093/imrn/rny216 (Access: Closed)