Real and Complex Singularities, 2007 São Carlos Workshop 2004 Trends in Mathematics Series

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.

Collects new results in singularity theory and its applications, from those elements which draw heavily on commutative algebra to the various flavours of geometry and topology Summary of current main ideas in singularity theory, suggesting future research directions in the area Includes supplementary material: sn.pub/extras