The Malgrange-Galois groupoid of the Painlevé VI equation with parameters
DOI10.1515/advgeom-2022-0010zbMath1502.34101arXiv2005.10291OpenAlexW3028184035MaRDI QIDQ2157793
David Blázquez-Sanz, Guy Casale, Juan Sebastián Díaz Arboleda
Publication date: 22 July 2022
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.10291
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Pseudogroups and differentiable groupoids (58H05) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
Cites Work
- Algebraic solutions of the sixth Painlevé equation
- Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation
- The classification of the semisimple differential algebraic groups and the linear semisimple differential algebraic Lie algebras
- Polynomial Hamiltonians associated with Painleve equations. I
- On the intransitive Lie algebras whose transitive parts are infinite and primitive
- Differential Galois theory and isomonodromic deformations
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- Generalized differential Galois theory
- Differential Galois theory of infinite dimension
- Sur une théorie générale de la réductibilité des équations et systèmes d'équations finies ou différentielles
- Galois theory of parameterized differential equations and linear differential algebraic groups
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