Sommaire

Uniformization of certain Shimura curves
p. 13
Algebraic solutions of the Lamé equation
p. 37
Gröbner δ-bases and Gröbner bases for differential operators
p. 45
Kovalevska vs. Kovacic-two different notions of integrability and their connections
p. 63
An existence theorem for systems of implicit differential equations
p. 75
Invariants and differential Galois groups in degree four
p. 79
Decomposing a 4th order linear differential equation as a symmetric product
p. 89
Computing the Galois group of a linear differential equation
p. 97
Remarks on the intrinsic inverse problem
p. 127
Non-integrability of certain Hamiltonian systems. Applications of the Morales-Ramis differential Galois extension of Ziglin theory
p. 139
The Picard-Vessiot closure in differential Galois theory
p. 151
A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory
p. 165
The fourteenth problem of Hilbert for polynomial derivations
p. 177
Finite-dimensional differential algebraic groups and the Picard-Vessiot theory
p. 189
A structure theorem for differential algebras
p. 201
A survey on local cohomology and 𝓓-modules
p. 207
Polynomial Riccati equations with algebraic solutions
p. 219