Strong minimality and the \(j\)-function

DOI10.4171/JEMS/761zbMath1484.03064arXiv1402.4588OpenAlexW2962889401MaRDI QIDQ679665

James Freitag, Thomas J. Scanlon

Publication date: 19 January 2018

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4588

zbMATH Keywords

Schwarzian derivativestrong minimality\(j\)-functionforking triviality

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Modular and automorphic functions (11F03) Differential algebra (12H05)

Related Items (20)

From algebra to analysis: New proofs of theorems by Ritt and Seidenberg ⋮ Algebraic differential equations from covering maps ⋮ Weak modular Zilber-Pink with derivatives ⋮ Some functional transcendence results around the Schwarzian differential equation ⋮ Generic differential equations are strongly minimal ⋮ Tameness in geometry and arithmetic: beyond o-minimality ⋮ A closure operator respecting the modular \(j\)-function ⋮ Some effective estimates for André-Oort in \(Y(1)^n\) ⋮ Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups ⋮ Bezout-type theorems for differential fields ⋮ Isolated types of finite rank: an abstract Dixmier-Moeglin equivalence ⋮ Geometric triviality of the strongly minimal second Painlevé equations ⋮ Adequate predimension inequalities in differential fields ⋮ Ax-Schanuel and strong minimality for the \(j\)-function ⋮ Corps différentiels et flots géodésiques I : Orthogonalité aux constantes pour les équations différentielles autonomes ⋮ Point counting for foliations over number fields ⋮ The Hauptmodul at elliptic points of certain arithmetic groups ⋮ Generic planar algebraic vector fields are strongly minimal and disintegrated ⋮ When any three solutions are independent ⋮ Differential existential closedness for the 𝑗-function

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