Solution algebras of differential equations and quasi-homogeneous varieties: a new differential Galois correspondence

DOI10.24033/asens.2218zbMath1344.12001arXiv1107.1179OpenAlexW2963685888MaRDI QIDQ5495504

Yves André

Publication date: 4 August 2014

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1179

zbMATH Keywords

geometric invariant theorytranscendencedifferential Galois groupdifferential algebra\(E\)-functionquasi-homogeneous varietyobservable subgroupsolution algebra

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Geometric invariant theory (14L24) Transcendence theory of other special functions (11J91) Differential algebra (12H05)

Related Items (11)

Differential projective modules over differential rings, II ⋮ A new proof of Nishioka's theorem in Mahler's method ⋮ Effective algebraic independence of values of \(E\)-functions ⋮ Differential étale extensions and differential modules over differential rings ⋮ Values of \(E\)-functions are not Liouville numbers ⋮ A classification of first order differential equations ⋮ Minimization of differential equations and algebraic values of 𝐸-functions ⋮ A general theory of André's solution algebras ⋮ Mahler's method ⋮ Differential projective modules over differential rings ⋮ Regular extensions and algebraic relations between values of Mahler functions in positive characteristic

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