SU\G(𝔾)/K·U

Specialisation of the Galois groupoid of a vector field

Guy Casale, Damien Davy

Type: Preprint

Publication Date: 2020-04-15

Citations: 3

Abstract

We prove lower semicontinuity of the Galois groupoid of a vector field dependingon parameters. Apply to Painlev{e} equations, this result can be used to compute theirsGalois groupoids for general values of parameters.

Locations

  • HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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Works Cited by This (17)

Action Title Year Authors
+ Différentielles non commutatives et théorie de Galois différentielle ou aux différences 2001 Y André
+ PDF Chat A note on the transcendency of Painlevé’s first transcendent 1988 Keiji Nishioka
+ PDF Chat Classical solutions of the third Painlevé equation 1995 Yoshihiro Murata
+ PDF Chat Differential Galois theory of infinite dimension 1996 Hiroshi Umemura
+ On the Irreducibility of the First Differential Equation of Painlevé 1988 Hiroshi Umemura
+ PDF Chat Solutions of the second and fourth Painlevé equations, I 1997 Hiroshi Umemura
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+ PDF Chat Moduli of linear differential equations on the Riemann sphere with fixed Galois groups 1993 Michael Singer
+ Differential Algebra and Algebraic Groups 2012 E. R. Kolchin
+ PDF Chat Solutions of the third Painlevé equation I 1998 Hiroshi Umemura
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+ A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations 2006 Yousuke Ohyama
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