edited by Denis Chéniot (University of Provence, France) , Nicolas Dutertre (University of Provence, France) , Claudio Murolo (University of Provence, France) , David Trotman (University of Provence, France) , & Anne Pichon (University of Méditerranée, France)

Table of Contents (112k)
Chapter 1: The Schwartz Classes of complex analytic singular Varieties (1,280k)

The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.

The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.

• Singularities of Robot Manipulators (P S Donelan)
• Differential Geometry from the View Point of Lagrangian or Legendrian Singularity Theory (S Izumiya)
• Geometry of Resonance Tongues (H W Broer et al.)
• Generic Singularities of Surfaces (Y Yomdin)
• Contact Structures and Non-Isolated Singularities (C Caubel)
• Motivic Vanishing Cycles and Applications (G Guilbert)
• A General Image Computing Spectral Sequence (K Houston)
• A Survey on Stratified Transversality (C Murolo)
• Direct Connections and Chern Character (N Teleman)
• and other papers