EuDML | Browse

Page 1

Displaying 1 – 3 of 3

The Lamé family of connections on the projective line

Frank Loray, Marius van der Put, Felix Ulmer (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

This paper deals with rank two connections on the projective line having four simple poles with prescribed local exponents 1/4 and $- 1 / 4$ . This Lamé family of connections has been extensively studied in the literature. The differential Galois group of a Lamé connection is never maximal : it is either dihedral (finite or infinite) or reducible. We provide an explicit moduli space of those connections having a free underlying vector bundle and compute the algebraic locus of those reducible connections....

The lattice structure of connection preserving deformations for $q$ -Painlevé equations I.

Ormerod, Christopher M. (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI

Henrik Aratyn, Johan van de LEUR (2005)

Annales de l’institut Fourier

Equivalence is established between a special class of Painlevé VI equations parametrized by a conformal dimension $μ$ , time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomonodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian solutions give...

Displaying 1 – 3 of 3

The Lamé family of connections on the projective line

The lattice structure of connection preserving deformations for q -Painlevé equations I.

The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI

Currently displaying 1 – 3 of 3

The lattice structure of connection preserving deformations for $q$ -Painlevé equations I.