Real and Complex Singularities

by Mond; David

• ISBN13: 9780824740917
• ISBN10: 0824740912
• Format: Paperback
• Copyright: 2003-03-03
• Publisher: CRC Press

Summary

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

Preface	iii
Contributors	vii
Irreducible Plane Curve Singularities	1	(120)
Abramo Hefez
Openness and Multitransversality	121	(16)
C. T. C. Wall
The Distribution ƒA ƒs and the Real Asymptotic Spectrum	137	(14)
Daniel Barlet
Ahmed Jeddi
Deformations of Boundary Singularities and Non-Crystallographic Coxeter Groups	151	(14)
Ina Scherbak
Transversal Whitney Topology and Singularities of Haefliger Foliations	165	(10)
Shyuchi Izumiya
Kunihide Maruyama
On a Conjecture of Chisini for Coverings of the Plane with A-D-E-Singularities	175	(14)
Valentine S. Kulikov
Not All Codimension 1 Germs Have Good Real Pictures	189	(12)
David Mond
Roberta G. Wik Atique
On the Topology of Hypersurface Singularities	201	(6)
Jose Seade
Polar Multiplicities and Equisingularity of Map Germs from C3 to C4	207	(20)
Victor Hugo Jorge Perez
Topological Invariants of Stable Maps from a Surface to the Plane from a Global Viewpoint	227	(10)
D. Hacon
C. Mendez de Jesus
M. C. Romero Fuster
Cubics in R and C	237	(8)
Radmila Bulajich
Leon Kushner
Santiago Lopez de Medrano
Indices of Newton Non-Degenerate Vector Fields and a Conjecture of Loewner for Surfaces in R4	245	(10)
Carlo Gutierrez
Maria Aparecida Soares Ruas
Generic Singularities of H-Directions	255	(12)
Luis Fernando O. Mello
Vertices of Curves on Constant Curvature Manifolds	267	(16)
Claudia C. Pansonato
Sueli I. R. Costa
Projections of Hypersurfaces in R4 to Planes	283	(18)
Ana Claudia Nabarro
Frobenius Manifolds and Hypersurface Singularities	301
Claus Hertling