Real and Complex Singularities

This volume collects papers presented at the eighth Sao Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. Like the workshop, this collection establishes the state of the art and presents new trends, new ideas and new results in all of the branches of singularities. Real and Complex Singularities offers a useful summary of leading ideas in singularity theory, and inspiration for future research.

Celestial Integration, Stringy Invariants, and Chern-Schwartz-MacPherson Classes.- Valuations Compatible with a Projection.- Quelques Résultats sur Certaines Fonctions à Lieu Singulier de Dimension 1.- Classification of Rational Unicuspidal Projective Curves whose Singularities Have one Puiseux Pair.- Bounding from below the Degree of an Algebraic One-dimensional Foliation Having a Prescribed Algebraic Solution.- Trajectory Singularities for a Class of Parallel Motions.- Vertices and Inflexions of Plane Sections of Surfaces in ?3.- Local Topology of Reducible Divisors.- The Geometry of Flecnodal Pairs.- Path Formulation for Z 2 ? Z 2-equivariant Bifurcation Problems.- The Multiplicity of Pairs of Modules and Hypersurface Singularities.- Lagrangian and Legendrian Singularities.- F-manifolds from Composed Functions.- On Equisingularity of Families of Maps (?n, 0) ? (? n+1, 0).- Projected Wallpaper Patterns.- Modular Lines for Singularities of the T-series.- Do Moduli of Goursat Distributions Appear on the Level of Nilpotent Approximations?.- Calculation of Mixed Hodge Structures, Gauss-Manin Connections and Picard-Fuchs Equations.- Whitney Equisingularity, Euler Obstruction and Invariants of Map Germs from ?n to ?3, n > 3.- Versality Properties of Projective Hypersurfaces.- Minimal Intransigent Hypersurfaces.- On the Link Space of a ?-Gorenstein Quasi-Homogeneous Surface Singularity.- Singularity Exchange at the Frontier of the Space.- Mackey Functors on Provarieties.