© 2007

Real and Complex Singularities

São Carlos Workshop 2004

  • Jean-Paul Brasselet
  • Maria Aparecida Soares Ruas


  • 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

Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-x
  2. Fuensanta Aroca
    Pages 15-22
  3. Javier Fernández de Bobadilla, Ignacio Luengo, Alejandro Melle Hernández, Andras Némethi
    Pages 31-45
  4. Matthew W. Cocke, Peter Donelan, Christopher G. Gibson
    Pages 53-70
  5. André Diatta, Peter Giblin
    Pages 71-97
  6. Alexandru Dimca, Anatoly Libgober
    Pages 99-111
  7. Daniel Dreibelbis
    Pages 113-126
  8. João Carlos Ferreira Costa, Angela Maria Sitta
    Pages 127-141
  9. Victor V. Goryunov, V. M. Zakalyukin
    Pages 169-185
  10. Ignacio de Gregorio, David Mond
    Pages 187-199
  11. Isabel S. Labouriau, Eliana M. Pinho
    Pages 209-217
  12. Victor H. Jorge Pérez, Eliris C. Rizziolli, Marcelo J. Saia
    Pages 263-287

About these proceedings


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.


Volume algebraic topology complex analysis manifold singularities

Editors and affiliations

  • Jean-Paul Brasselet
    • 1
  • Maria Aparecida Soares Ruas
    • 2
  1. 1.Institut de Mathématiques de Luminy — CNRSMarseille CedexFrance
  2. 2.Instituto de Ciências Matemáticas e de Computação — USPSão Carlos, SPBrasil

Bibliographic information