A Galois \(D\)-groupoid for \(q\)-difference equations

DOI10.5802/aif.2648zbMath1247.39008OpenAlexW2322515969MaRDI QIDQ407794

Anne Granier

Publication date: 28 March 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219704

zbMATH Keywords

\(q\)-difference equations\(q\)-difference Galois groupsFuchsian linear \(q\)-difference systemsMalgrange's \(D\)-groupoids

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (4)

Hiroshi Umemura and French mathematics ⋮ Parameterized Picard-Vessiot extensions and Atiyah extensions ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Galois Theory of Difference Equations with Periodic Parameters

Cites Work

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• A local Galois \(D\)-groupoid for Fuchsian \(q\)-difference systems
• Galois theory of difference equations
• La variété caractéristique d'un système différentiel analytique. (The characteristic variety or an analytic differential system)
• Galoisian envelope of a rational map of \(\mathbb P^1\)
• \({\mathcal D}\)-envelope of a diffeomorphism of \((\mathbb C,0)\)
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• La classification des systèmes aux q--différences singuliers réguliers par la matrice de connexion de Birkhoff
• Galois theory of fuchsian q-difference equations

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