12 citations · 29 across the 14 of their papers we have counts for
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Malgrange-Galois groupoid of Painlevé VI equation with parameters
David Blázquez-Sanz, Guy Casale, Juan Sebastián Díaz Arboleda
The Malgrange-Galois groupoid of Painlevé IV equations is known to be, for very general values of parameters, the pseudogroup of transformations of the phase space preserving a vol…
Homogeneous surfaces admitting invariant connections
David Blázquez-Sanz, Carlos Alberto Marín Arango, Luis Fernando Jiménez Buitrago
We compute all the simply connected homogeneous and infinitesimally homogeneous surfaces admitting one or more invariant affine connections. We find exactly six non equivalent simp…
A simplified categorical approach to several Galois theories
David Blázquez-Sanz, Carlos A. Marín Arango, Juan Felipe Ruiz Castrillon
We discuss the concept of Galois structure and Galois epimorphism in a general setting. Namely, a Galois structure for an epimorphism in some category ${\mathcal C…
Parallelisms & Lie Connections
David Blázquez-Sanz, Guy Casale
The aim of this article is to study rational parallelisms of algebraic varieties by means of the transcendence of their symmetries. The nature of this transcendence is measured by…
Infinitesimally homogeneous manifolds with prescribed structure groups
Carlos Alberto Marín Arango, David Blázquez-Sanz
We explore the class of triples (M, nabla, P) where M is a manifold, nabla is an affine connection in M and P is a G-structure in M. Inside this class there are infinitesimally hom…
Affine Structures on Jet and Weil Bundles
David Blázquez-Sanz
Weil algebra morphism induce natural transformations between Weil bundles. In some well known cases, a natural transformation is endowed with a canonical structure of affine bundle…