This volume contains 23 papers about "Differential Equations and Singularities" written on the occasion of the congress in honour of J.M. Aroca, which took place at the University of Valladolid on September 4-8, 2006.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in differential equations and singularities.

Table of Contents

• F. A. Cuesta, A. L. Rojo, and M. M. Stadler -- Dynamique transverse de la lamination de Ghys-Kenyon
• C. Beddani -- Comparaison des valuations divisorielles
• F. E. Brochero Martínez and L. López-Hernanz -- Gevrey class of the infinitesimal generator of a diffeomorphism
• C. Camacho and L. H. de Figueiredo -- On the limit of families of algebraic subvarieties with unbounded volume
• J. Cano and P. F. Ayuso -- The space of generalized formal power series solution of an ordinary differential equation
• G. Casale -- Une preuve galoisienne de l'irrédictibilité au sens de Nishioka-Umemura de la première équation de Painlevé
• D. Cerveau -- Feuilletages en droites, équations des eikonales et autres équations différentielles
• M. Chaperon and S. L. de Medrano -- Some regularities and singularities appearing in the study of polynomials and operators
• N. Corral -- Polar pencil of curves and foliations
• A. L. Neto -- Homogeneous commuting vector fields on \(\mathbb{C}^2\)
• J.-M. Lion and P. Speissegger -- Un théorème de type Haefliger définissable
• F. Loray and D. M. Pérez -- Projective structures and projective bundles over compact Riemann surfaces
• R. Moussu and J.-P. Rolin -- Une preuve combinatoire du théorème de Frobenius
• P. Fernández-Sánchez and J. Mozo-Fernández -- On generalized surfaces in \((\mathbb{C}^3,0)\)
• E. Paul -- The Galoisian envelope of a germ of foliation: the quasi-homogeneous case
• J. V. Pereira and P. Sad -- Rigidity of fibrations
• J.-P. Ramis and J. Sauloy -- The \(q\)-analogue of the wild fundamental group (II)
• J. Ribón -- Unfoldings of tangent to the identity diffeomorphisms
• G. Rond -- Séries de Poincaré motiviques d'un germe d'hypersurface irréductible quasi-ordinaire
• J. Sauloy -- Équations aux \(q\)-différences et fibrés vectoriels holomorphes sur la courbe elliptique \(\mathbb{C}^\ast/q^{\mathbb{Z}}\)
• M. G. Soares -- Singularities of logarithmic foliations and connectedness of the union of logarithmic components
• H. Umemura -- On the definition of the Galois groupoid
• J. van der Hoeven -- Transserial Hardy fields