Ax–Lindemann and André–Oort for a Nonholomorphic Modular Function

DOI10.5802/jtnb.1048zbMath1441.11164arXiv1607.03769OpenAlexW2940167385MaRDI QIDQ5223364

Haden Spence

Publication date: 17 July 2019

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03769

zbMATH Keywords

rational pointdefinable setAndré-Oort conjecturenonholomorphic modular functionPila-Wilkie theorem

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Model theory of ordered structures; o-minimality (03C64)

Related Items (1)

A Modular André–Oort Statement with Derivatives

Cites Work

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• Modular Ax-Lindemann-Weierstrass with derivatives
• Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture
• The André-Oort conjecture
• \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
• Elliptic functions and transcendence
• Subvarieties of Shimura varieties
• Transcendence and algebraic independence: links between the elliptic and modular points of view
• The André-Oort conjecture for \(\mathcal A_g\)
• Uniform definability of the Weierstrass \(\wp\) functions and generalized tori of dimension one
• Ax-Lindemann for \(\mathcal{A}_g\)
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• Elliptic Modular Forms and Their Applications
• Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type
• Über die Classenzahl quadratischer Zahlkörper

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