12 citations · 29 across the 14 of their papers we have counts for
16 papers
A differential approach to Ax-Schanuel, I
David Blázquez-Sanz, Guy Casale, James Freitag +1
In this paper, we prove several Ax-Schanuel type results for uniformizers of geometric structures; our general results describe the differential algebraic relations between the sol…
Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
This paper is devoted to a complete parametric study of Liouvillian solutions of the general trace-free second order differential equation with a Laurent polynomial coefficient. Th…
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…
Some functional transcendence results around the Schwarzian differential equation
David Blázquez-Sanz, Guy Casale, James Freitag +1
This paper centers around proving variants of the Ax-Lindemann-Weierstrass (ALW) theorem for analytic functions which satisfy Schwarzian differential equations. In previous work, t…
Liouvillian solutions for second order linear differential equations with polynomial coefficients
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
In this paper we present an algebraic study concerning the general second order linear differential equation with polynomial coefficients. By means of Kovacic's algorithm and asymp…
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…