Editors:
- 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)
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Front Matter
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
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Institut de Mathématiques de Luminy — CNRS, Marseille Cedex, France
Jean-Paul Brasselet
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Instituto de Ciências Matemáticas e de Computação — USP, São Carlos, SP, Brasil
Maria Aparecida Soares Ruas
Bibliographic Information
Book Title: Real and Complex Singularities
Book Subtitle: São Carlos Workshop 2004
Editors: Jean-Paul Brasselet, Maria Aparecida Soares Ruas
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-7643-7776-2
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
Hardcover ISBN: 978-3-7643-7775-5Published: 22 November 2006
eBook ISBN: 978-3-7643-7776-2Published: 05 January 2007
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: X, 364
Topics: Differential Geometry, Dynamical Systems and Ergodic Theory, Manifolds and Cell Complexes (incl. Diff.Topology), Geometry