Granier, Anne A local Galois \(D\)-groupoid for Fuchsian \(q\)-difference systems. (Un \(D\)-groupoïde de Galois local pour les systèmes aux \(q\)-différences fuchsiens.) (French) Zbl 1186.39007 C. R., Math., Acad. Sci. Paris 348, No. 5-6, 263-265 (2010). Summary: We compute the Galois \(D\)-groupoid of a constant linear \(q\)-difference system and we define, giving its realisations, a local Galois \(D\)-groupoid for Fuchsian \(q\)-difference systems. Cited in 3 Documents MSC: 39A13 Difference equations, scaling (\(q\)-differences) 20N02 Sets with a single binary operation (groupoids) 12H05 Differential algebra Keywords:Galois \(D\)-groupoid; linear \(q\)-difference system; Fuchsian \(q\)-difference systems PDFBibTeX XMLCite \textit{A. Granier}, C. R., Math., Acad. Sci. Paris 348, No. 5--6, 263--265 (2010; Zbl 1186.39007) Full Text: DOI References: [1] Malgrange, B., Le groupoïde de Galois d’un feuilletage, Monographie de l’Enseignement Mathématique, 38, 2, 465-501 (2001) · Zbl 1033.32020 [2] Sauloy, J., Galois theory of Fuchsian \(q\)-difference equations, Annales Scientifiques de l’École Normale Supérieure Quatrième Série, 36, 925-968 (2003) · Zbl 1053.39033 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.