Fields generated by sums and products of singular moduli

DOI10.1016/j.jnt.2018.03.015zbMath1444.11135arXiv1712.06502OpenAlexW2963144336WikidataQ129977965 ScholiaQ129977965MaRDI QIDQ1786685

Bernadette Faye, Antonin Riffaut

Publication date: 24 September 2018

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

Full work available at URL: https://arxiv.org/abs/1712.06502

zbMATH Keywords

\(j\)-invariantcomplex multiplicationsingular moduliAndré-Oort

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (4)

Triples of singular moduli with rational product ⋮ Bounding the difference of two singular moduli ⋮ Equations in three singular moduli: the equal exponent case ⋮ Effective bounds on differences of singular moduli that are S-units

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Rational products of singular moduli
• Collinear CM-points
• CM-Points on Straight Lines
• An effective result of André–Oort type II
• Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire
• An effective “Theorem of André” for CM-points on a plane curve

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