Real and complex singularities : the sixth workshop at Sao Carlos

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.

Author Notes

Mond, David | Saia, Marcelo

Abramo HefezC. T. C. WallDaniel Barlet and Ahmed JeddiIna ScherbakShyuchi Izumiya and Kunihide MaruyamaValentine S. KulikovDavid Mond and Roberta G. Wik AtiqueJose SeadeVictor Hugo Jorge PerezD. Hacon and C. Mendez de Jesus and M. C. Romero FusterRadmila Bulajich and Leon Kushner and Santiago Lopez de MedranoCarlo Gutierrez and Maria Aparecida Soares RuasLuis Fernando O. MelloClaudia C. Pansonato and Sueli I. R. CostaAna Claudia NabarroClaus Hertling

Preface	p. iii
Contributors	p. vii
1. Irreducible Plane Curve Singularities	p. 1
2. Openness and Multitransversality	p. 121
3. The Distribution [function of subscript A] f[superscript s square] and the Real Asymptotic Spectrum	p. 137
4. Deformations of Boundary Singularities and Non-Crystallographic Coxeter Groups	p. 151
5. Transversal Whitney Topology and Singularities of Haefliger Foliations	p. 165
6. On a Conjecture of Chisini for Coverings of the Plane with A-D-E-Singularities	p. 175
7. Not All Codimension 1 Germs Have Good Real Pictures	p. 189
8. On the Topology of Hypersurface Singularities	p. 201
9. Polar Multiplicities and Equisingularity of Map Germs from C[superscript 3] to C[superscript 4]	p. 207
10. Topological Invariants of Stable Maps from a Surface to the Plane from a Global Viewpoint	p. 227
11. Cubics in R and C	p. 237
12. Indices of Newton Non-Degenerate Vector Fields and a Conjecture of Loewner for Surfaces in R[superscript 4]	p. 245
13. Generic Singularities of H-Directions	p. 255
14. Vertices of Curves on Constant Curvature Manifolds	p. 267
15. Projections of Hypersurfaces in R[superscript 4] to Planes	p. 283
16. Frobenius Manifolds and Hypersurface Singularities	p. 301

Available:*

On Order

Summary

Summary

Author Notes

Table of Contents