Linear Equations in Singular Moduli

Yuri Bilu; Lars Kuhne

doi:10.48550/arXiv.1712.04027

Linear Equations in Singular Moduli

Yuri Bilu
, Lars Kuhne^*

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Universite de Bordeaux

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Seiten (von - bis)	7617-7643
Seitenumfang	27
Fachzeitschrift	International Mathematics Research Notices
Jahrgang	2020
Ausgabenummer	21
Elektronisch veröffentlicht (E-Pub)	14 Sept. 2018
DOIs	https://doi.org/10.48550/arXiv.1712.04027 https://doi.org/10.1093/imrn/rny216
Publikationsstatus	Veröffentlicht - 1 Nov. 2020

ASJC Scopus Sachgebiete

Allgemeine Mathematik

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