Singularities : the Brieskorn anniversary volume ; [extended versions of the talks given at the conference in honour of the 60th birthday of Egbert Brieskorn, held at the Math. Forschungsinst. Oberwolfach, in july 1996

In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday. Most of the mathematicians invited to the conference have been influenced in one way or another by Brieskorn's work in singularity theory. It was the first time that so many people from the Russian school could be present at a conference in singularity theory outside Russia. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrating the breadth of Brieskorn's own interests. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrates the breadth of Brieskorn's own interests. Front Matter....Pages i-xxv Front Matter....Pages 1-1 On Schappert’s Characterization of Strictly Unimodal Plane Curve Singularities....Pages 3-26 Geometric Quotients of Unipotent Group Actions II....Pages 27-36 Hodge Numbers for Isolated Singularities of Non-degenerate Complete Intersections....Pages 37-60 Differential Invariants of Embeddings of Manifolds in Complex Spaces....Pages 61-92 On the Spectrum of Curve Singularities....Pages 93-102 Embedding Nonisolated Singularities into Isolated Singularities....Pages 103-115 Front Matter....Pages 117-117 Discriminants and Vector Fields....Pages 119-140 Suspensions of Fat Points and Their Intersection Forms....Pages 141-165 Brieskorn Lattices and Torelli Type Theorems for Cubics in P 3 and for Brieskorn-Pham Singularities with Coprime Exponents....Pages 167-194 Equiclassical Deformation of Plane Algebraic Curves....Pages 195-204 Monodromy of Complete Intersections and Surface Potentials....Pages 205-237 Front Matter....Pages 239-239 P-Resolutions of Cyclic Quotients from the Toric Viewpoint....Pages 241-250 On Characteristic Cones, Clusters and Chains of Infinitely Near Points....Pages 251-261 On Kleinian Singularities and Quivers....Pages 263-288 Seventeen Obstacles for Resolution of Singularities....Pages 289-313 Front Matter....Pages 315-315 Sur la topologie des polynômes complexes....Pages 317-343 Five Definitions of Critical Point at Infinity....Pages 345-360 Evaluation of Fermion Loops by Iterated Residues....Pages 361-398 Möbius and Odd Real Trigonometric M-Functions....Pages 399-408 Moduli Space of Smooth Affine Curves of a Given Genus with one Place at Infinity....Pages 409-434 Front Matter....Pages 315-315 Shadows of Legendrian Links and J + -Theory of Curves....Pages 435-458 Back Matter....Pages 459-460