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Real and Complex Singularities

São Carlos Workshop 2004

  • Conference proceedings
  • © 2007

Overview

Editors:
  1. Jean-Paul Brasselet

    1. Institut de Mathématiques de Luminy — CNRS, Marseille Cedex, France

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  2. Maria Aparecida Soares Ruas

    1. Instituto de Ciências Matemáticas e de Computação — USP, São Carlos, SP, Brasil

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    You can also search for this editor in PubMed   Google Scholar

  • 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

Part of the book series: Trends in Mathematics (TM)

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Table of contents (24 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Celestial Integration, Stringy Invariants, and Chern-Schwartz-MacPherson Classes

    • Paolo Aluffi
    Pages 1-13

  3. Valuations Compatible with a Projection

    • Fuensanta Aroca
    Pages 15-22

  4. Quelques Résultats sur Certaines Fonctions à Lieu Singulier de Dimension 1

    • Daniel Barlet
    Pages 23-30

  5. Classification of Rational Unicuspidal Projective Curves whose Singularities Have one Puiseux Pair

    • Javier Fernández de Bobadilla, Ignacio Luengo, Alejandro Melle Hernández, Andras Némethi
    Pages 31-45

  6. Bounding from below the Degree of an Algebraic One-dimensional Foliation Having a Prescribed Algebraic Solution

    • Vincent Cavalier, Daniel Lehmann
    Pages 47-51

  7. Trajectory Singularities for a Class of Parallel Motions

    • Matthew W. Cocke, Peter Donelan, Christopher G. Gibson
    Pages 53-70

  8. Vertices and Inflexions of Plane Sections of Surfaces in ℝ3

    • André Diatta, Peter Giblin
    Pages 71-97

  9. Local Topology of Reducible Divisors

    • Alexandru Dimca, Anatoly Libgober
    Pages 99-111

  10. The Geometry of Flecnodal Pairs

    • Daniel Dreibelbis
    Pages 113-126

  11. Path Formulation for Z 2 ⊕ Z 2-equivariant Bifurcation Problems

    • João Carlos Ferreira Costa, Angela Maria Sitta
    Pages 127-141

  12. The Multiplicity of Pairs of Modules and Hypersurface Singularities

    • Terence Gaffney
    Pages 143-168

  13. Lagrangian and Legendrian Singularities

    • Victor V. Goryunov, V. M. Zakalyukin
    Pages 169-185

  14. F-manifolds from Composed Functions

    • Ignacio de Gregorio, David Mond
    Pages 187-199

  15. On Equisingularity of Families of Maps (ℂn, 0) → (ℂn+1, 0)

    • Kevin Houston
    Pages 201-208

  16. Projected Wallpaper Patterns

    • Isabel S. Labouriau, Eliana M. Pinho
    Pages 209-217

  17. Modular Lines for Singularities of the T-series

    • Bernd Martin
    Pages 219-228

  18. Do Moduli of Goursat Distributions Appear on the Level of Nilpotent Approximations?

    • Piotr Mormul
    Pages 229-246

  19. Calculation of Mixed Hodge Structures, Gauss-Manin Connections and Picard-Fuchs Equations

    • Hossein Movasati
    Pages 247-262

  20. Whitney Equisingularity, Euler Obstruction and Invariants of Map Germs from ℂn to ℂ3, n > 3

    • Victor H. Jorge Pérez, Eliris C. Rizziolli, Marcelo J. Saia
    Pages 263-287
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Keywords

About this book

The São 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. This is reflected by the contributions in this book. The main topics discussed are 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, and applications of singularity theory to geometry of surfaces in low dimensional euclidean spaces, to differential equations and to bifurcation theory.

Editors and Affiliations

  • Institut de Mathématiques de Luminy — CNRS, Marseille Cedex, France

    Jean-Paul Brasselet

  • Instituto de Ciências Matemáticas e de Computação — USP, São Carlos, SP, Brasil

    Maria Aparecida Soares Ruas

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