Projective isomonodromy and Galois groups

DOI10.1090/S0002-9939-2012-11499-6zbMath1268.34187arXiv1002.2005WikidataQ57428042 ScholiaQ57428042MaRDI QIDQ4908275

Michael F. Singer, Claude Mitschi

Publication date: 5 March 2013

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

Full work available at URL: https://arxiv.org/abs/1002.2005

zbMATH Keywords

differential Galois theoryDarboux-Halphen equationsabsolutely irreducible differential equationslinear systems of ordinary differential equations on Riemann's spheremonodromy-evolving deformationsparametrized regular singularities

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Linear ordinary differential equations and systems in the complex domain (34M03) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (4)

Parameterized Picard-Vessiot extensions and Atiyah extensions ⋮ Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation ⋮ Difference Galois theory of linear differential equations ⋮ Isomonodromic differential equations and differential categories

Cites Work

• The classification of the semisimple differential algebraic groups and the linear semisimple differential algebraic Lie algebras
• On isomonodromic deformations of Fuchsian systems
• Generalized differential Galois theory
• Integrability, Monodromy Evolving Deformations, and Self-Dual Bianchi IX Systems
• Differential Algebraic Groups
• Galois theory of parameterized differential equations and linear differential algebraic groups
• Linear algebraic groups.
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