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.
Erscheinungsdatum: 13.06.2012

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Singularities: The Brieskorn Anniversary Volume (Progress in Mathematics, 162)

V. I Arnolʹd; Egbert Brieskorn; Gert-Martin Greuel; J. H. M Steenbrink

Vladimir I. Arnold; Gert-Martin Greuel; Joseph H.M. Steenbrink

edited by V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink

Arnolʹd, V. I

H Bass

Springer Nature Switzerland AG

Springer Basel

Progress in Mathematics, 162, 1st ed. 1998, Basel, 1998

Softcover reprint of the original 1st ed. 1998, 2012

Place of publication not identified, 1998

Springer Nature, Basel, 2012

Switzerland, Switzerland

Jun 13, 2012

lg1121471

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Source title: Singularities (Progress in Mathematics)

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

2013-08-01