Real And Complex Singularities

David Mond, Marcelo Saia

• Publisher: CRC Press
• Year: 2003
• Topic: Mathematics
• eBook ISBN:
  9781135543280
• Subtopic: Functional Analysis
• Index: Mathematics

This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. The authors discuss irreducible plane curve singularities, openness and multitransversality, the distribution Afs and the real asymptotic spectrum, deformations of boundary singularities and non-crystallographic coxeter groups, transversal Whitney topology and singularities of Haefliger foliations, the topology of hypersurface singularities, polar multiplicities and equisingularity of map germs from C3 to C4, and topological invariants of stable maps from a surface to the plane from a global viewpoint.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Preface
• Table of Contents
• Contributors
• 1. Irreducible Plane Curve Singularities
• 2. Openness and Multitransversality
• 3. The Distribution ∫A fs □ and the Real Asymptotic Spectrum
• 4. Deformations of Boundary Singularities and Non-Crystallographic Coxeter Groups
• 5. Transversal Whitney Topology and Singularities of Haefliger Foliations
• 6. On a Conjecture of Chisini for Coverings of the Plane with A-D-E-Singularities
• 7. Not All Codimension 1 Germs Have Good Real Pictures
• 8. On the Topology of Hypersurface Singularities
• 9. Polar Multiplicities and Equisingularity of Map Germs from C3 to C4
• 10. Topological Invariants of Stable Maps from a Surface to the Plane from a Global Viewpoint
• 11. Cubics in R and C
• 12. Indices of Newton Non-Degenerate Vector Fields and a Conjecture of Loewner for Surfaces in R4
• 13. Generic Singularities of H-Directions
• 14. Vertices of Curves on Constant Curvature Manifolds
• 15. Projections of Hypersurfaces in R4 to Planes
• 16. Frobenius Manifolds and Hypersurface Singularities