Real And Complex Singularities

by Brasselet, Jean-Paul; Ruas, Maria Aparecida Soares

• ISBN13: 9783764377755
• ISBN10: 3764377755
• Format: Hardcover
• Copyright: 2006-11-15
• Publisher: Birkhauser

Summary

The S?#o Carlos Workshop on Real and Complex Singularities is the longest running workshop in singularities. It is held every two years and is a key international event for people working in the field. This volume contains papers presented at the eighth workshop, held at the IML, Marseille, July 19-23, 2004. The workshop offers the opportunity to establish the state of the art and to present new trends, new ideas and new results in all of the branches of singularities - reflected by the contributions in this book: equisingularity of sets and mappings, geometry of singular complex analytic sets, singularities of mappings, characteristic classes, classification of singularities, interaction of singularity theory with some of the new ideas in algebraic geometry imported from theoretical physics, applications of singularity theory to geometry of surfaces in low dimensional euclidean spaces, to differential equations and to bifurcation theory.

Table of Contents

Preface	p. vii
Introduction	p. ix
Celestial Integration, Stringy Invariants, and Chern-Schwartz-MacPherson Classes	p. 1
Valuations Compatible with a Projection	p. 15
Quelques Resultats sur Certaines Fonctions a Lieu Singulier de Dimension 1	p. 23
Classification of Rational Unicuspidal Projective Curves whose Singularities Have one Puiseux Pair	p. 31
Bounding from below the Degree of an Algebraic One-dimensional Foliation Having a Prescribed Algebraic Solution	p. 47
Trajectory Singularities for a Class of Parallel Motions	p. 53
Vertices and Inflexions of Plane Sections of Surfaces in R[superscript 3]	p. 71
Local Topology of Reducible Divisors	p. 99
The Geometry of Flecnodal Pairs	p. 113
Path Formulation for Z[subscript 2 oplus] Z[subscript 2]-equivariant Bifurcation Problems	p. 127
The Multiplicity of Pairs of Modules and Hypersurface Singularities	p. 143
Lagrangian and Legendrian Singularities	p. 169
F-manifolds from Composed Functions	p. 187
On Equisingularity of Families of Maps (C[superscript n], 0) [right arrow] (C[superscript n+1], 0)	p. 201
Projected Wallpaper Patterns	p. 209
Modular Lines for Singularities of the T-series	p. 219
Do Moduli of Goursat Distributions Appear on the Level of Nilpotent Approximations?	p. 229
Calculation of Mixed Hodge Structures, Gauss-Manin Connections and Picard-Fuchs Equations	p. 247
Whitney Equisingularity, Euler Obstruction and Invariants of Map Germs from C[superscript n] to C[superscript 3], n [Greater than] 3	p. 263
Versality Properties of Projective Hypersurfaces	p. 289
Minimal Intransigent Hypersurfaces	p. 299
On the Link Space of a Q-Gorenstein Quasi-Homogeneous Surface Singularity	p. 311
Singularity Exchange at the Frontier of the Space	p. 327
Mackey Functors on Provarieties	p. 343
Addresses	p. 361
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