Valuations and differential Galois groups

DOI10.1090/S0065-9266-2010-00606-9zbMath1248.12003OpenAlexW2030743548MaRDI QIDQ3091751

Guillaume Duval

Publication date: 14 September 2011

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0065-9266-2010-00606-9

zbMATH Keywords

linear differential equationsvaluationsdifferential Galois theoryPicard-Vessiot theoryLiouvillian extensions

Mathematics Subject Classification ID

Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) General valuation theory for fields (12J20) Research exposition (monographs, survey articles) pertaining to field theory (12-02)

Cites Work

• De l'application des méthodes valuatives en algèbre différentielle
• Hardy fields
• Differential function fields and moduli of algebraic varieties
• First order algebraic differential equations. A differential algebraic approach
• Differential valuations
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• On the explicit solvability of certain transcendental equations
• Anneaux locaux henséliens
• Valuations in Function Fields of Surfaces
• The Rank of a Hardy Field
• Algebraic Relations Among Solutions of Linear Differential Equations
• Solutions of Linear Differential Equations in Function Fields of One Variable
• Uniform approximation of Abhyankar valuation ideals in smooth function fields
• An Analogue of L'Hospital's Rule
• Linear algebraic groups.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Valuations and differential Galois groups