Linear Equations in Singular Moduli-Reference-Cited by-同舟云学术

Linear Equations in Singular Moduli

Published:2018-09-14 Issue:21 Volume:2020 Page:7617-7643
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bilu Yuri¹,Kühne Lars²

Affiliation:

1. IMB, Université Bordeaux, cours de la Libération, Talence, France

2. Departement Mathematik und Informatik, Spiegelgasse, Basel, Switzerland

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/21/7617/34303331/rny216.pdf

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