Real And Complex Singularities

David Mond, Marcelo Saia0-8247-4091-2, 9780824740917

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 hyper surface 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.

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Table of contents :
Preface……Page 9
Contents……Page 11
Contributors……Page 13
Irreducible Plane Curve Singularities……Page 17
Openness and Multitransversality……Page 137
The Distribution and the Real Asymptotic Spectrum……Page 153
Deformations of Boundary Singularities and Non-Crystallographic Coxeter Groups……Page 167
Transversal Whitney Topology and Singularities of Haefliger Foliations……Page 181
On a Conjecture of Chisini for Coverings of the Plane with A-D-E-Singularities……Page 191
Not AH Codimension 1 Germs Have Good Real Pictures……Page 205
On the Topology of Hypersurface Singularities……Page 217
Polar Multiplicities and Equisingularity of Map Germs from C3 to C4……Page 223
Topological Invariants of Stable Maps from a Surface to the Plane from a Global Viewpoint……Page 243
Cubics in R and C……Page 253
Indices of Newton Non-Degenerate Vector Fields and a Conjecture of Loewner for Surfaces in R4……Page 261
Generic Singularities of H-Directions……Page 271
Vertices of Curves on Constant Curvature Manifolds……Page 283
Projections of Hypersurfaces in R4 to Planes……Page 299
Frobenius Manifolds and Hypersurface Singularities……Page 317