Real and Complex Singularities (eBook)

Contents 6
Preface 8
Introduction 10
Celestial Integration, Stringy Invariants, and Chern- Schwartz- MacPherson Classes 12
Valuations Compatible with a Projection 25
Quelques R´ esultats sur Certaines Fonctions ` a Lieu Singulier de Dimension 1 33
Classification of Rational Unicuspidal Projective Curves whose Singularities Have one Puiseux Pair 41
Bounding from below the Degree of an Algebraic One- dimensional Foliation Having a Prescribed Algebraic Solution 56
Trajectory Singularities for a Class of Parallel Motions 61
Vertices and Inflexions of Plane Sections of Surfaces in R3 79
Local Topology of Reducible Divisors 106
The Geometry of Flecnodal Pairs 119
Path Formulation for Z2 . Z2-equivariant Bifurcation Problems 133
The Multiplicity of Pairs of Modules and Hypersurface Singularities 148
Lagrangian and Legendrian Singularities 174
F-manifolds from Composed Functions 191
On Equisingularity of Families of Maps (Cn, 0) . (Cn+1, 0) 204
Projected Wallpaper Patterns 212
Modular Lines for Singularities of the T-series 221
Do Moduli of Goursat Distributions Appear on the Level of Nilpotent Approximations? 231
Calculation of Mixed Hodge Structures, Gauss- Manin Connections and Picard- Fuchs Equations 249
Whitney Equisingularity, Euler Obstructionand Invariants of Map Germs from Cn to C3, n > 3
Versality Properties of Projective Hypersurfaces 290
Minimal Intransigent Hypersurfaces 300
On the Link Space of a Q-Gorenstein Quasi-Homogeneous Surface Singularity 312
Singularity Exchange at the Frontier of the Space 327
Mackey Functors on Provarieties 343
Addresses 360