Triples of singular moduli with rational product

DOI10.1142/S1793042120501110zbMath1469.11188arXiv2005.04164MaRDI QIDQ5140299

Guy Fowler

Publication date: 15 December 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04164

zbMATH Keywords

complex multiplicationAndré-Oort conjecturesingular modulus

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (2)

Ultra-short sums of trace functions ⋮ Equations in three singular moduli: the equal exponent case

Uses Software

• PARI/GP
• SageMath

Cites Work

• Unnamed Item
• An effective result of André-Oort type
• Rational products of singular moduli
• \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
• Fields generated by sums and products of singular moduli
• Some effective estimates for André-Oort in \(Y(1)^n\)
• CM-Points on Straight Lines
• Multiplicative relations among singular moduli
• Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire
• Equations with powers of singular moduli
• An effective “Theorem of André” for CM-points on a plane curve
• Linear Equations in Singular Moduli

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