Local analytic classification and local Galois theory of \(q\)-difference modules with non integral slopes

DOI10.1016/J.CRMA.2011.09.002zbMath1230.12006OpenAlexW2023891687MaRDI QIDQ643610

Virginie Bugeaud

Publication date: 2 November 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.09.002

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Difference algebra (12H10)

Related Items (1)

\(q\)-deformation of meromorphic solutions of linear differential equations

Cites Work

• Galois theory of \(q\)-difference equations
• The canonical filtration by the slopes of a \(q\)-difference module and the associated graded module.
• Equations aux q-differences et fibres vectoriels holomorphes sur la courbe elliptique C^*/q^Z
• Galois theory of fuchsian q-difference equations
• Local analytic classification of q-difference equations
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