Iterative q-difference Galois theory

DOI10.1515/CRELLE.2010.053zbMath1203.12004arXiv0910.4826MaRDI QIDQ3579827

Charlotte Hardouin

Publication date: 11 August 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4826

zbMATH Keywords

higher derivationsPicard-Vessiot theoryGrothendieck-Katz conjectureq-difference equationsDifference Galois theory

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Differential algebra (12H05) Difference algebra (12H10)

Related Items (6)

On Hasse-Schmidt rings and module algebras. ⋮ Toward quantization of Galois theory ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Formal confluence of quantum differential operators ⋮ Operators coming from ring schemes ⋮ Generalized differentials and prolongation spaces

Cites Work

• Arithmetic theory of \(q\)-difference equations. The \(q\)-analogue of Grothendieck-Katz's conjecture on \(p\)-curvatures
• Infinitesimal Group Scheme Actions on Finite Field Extensions

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