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Singularities

The Brieskorn Anniversary Volume

  • Book
  • © 1998

Overview

Editors:
  1. V. I. Arnold

    1. Department of Geometry and Topology, Steklov Mathematical Institute, Moscow GSP-1, Russia
      CEREMADE, Université Paris-Dauphine, Paris Cedex 16e, France

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  2. G.-M. Greuel

    1. Fachbereich Mathematik, Universität Kaiserslautern, Kaiserslautern, Germany

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  3. J. H. M. Steenbrink

    1. Subfaculteit Wiskunde, Katholieke Universiteit Nijmegen Toernooiveld, Nijmegen, The Netherlands

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Part of the book series: Progress in Mathematics (PM, volume 162)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxv
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  2. Classification and Invariants

    1. Front Matter

      Pages 1-1
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    2. On Schappert’s Characterization of Strictly Unimodal Plane Curve Singularities

      • Yuri A. Drozd, Gert-Martin Greuel
      Pages 3-26

    3. Geometric Quotients of Unipotent Group Actions II

      • Gert-Martin Greuel, Gerhard Pfister
      Pages 27-36

    4. Hodge Numbers for Isolated Singularities of Non-degenerate Complete Intersections

      • Helmut A. Hamm
      Pages 37-60

    5. Differential Invariants of Embeddings of Manifolds in Complex Spaces

      • Weiming Huang, Joseph Lipman
      Pages 61-92

    6. On the Spectrum of Curve Singularities

      • András Némethi
      Pages 93-102

    7. Embedding Nonisolated Singularities into Isolated Singularities

      • Mihai Tibăr
      Pages 103-115

  3. Deformation Theory

    1. Front Matter

      Pages 117-117
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    2. Discriminants and Vector Fields

      • Andrew A. du Plessis, Charles T. C. Wall
      Pages 119-140

    3. Suspensions of Fat Points and Their Intersection Forms

      • Wolfgang Ebeling, Sabir M. Gusein-Zade
      Pages 141-165

    4. Brieskorn Lattices and Torelli Type Theorems for Cubics in ℙ3 and for Brieskorn-Pham Singularities with Coprime Exponents

      • Claus Hertling
      Pages 167-194

    5. Equiclassical Deformation of Plane Algebraic Curves

      • Eugenii Shustin
      Pages 195-204

    6. Monodromy of Complete Intersections and Surface Potentials

      • Victor A. Vassiliev
      Pages 205-237

  4. Resolution

    1. Front Matter

      Pages 239-239
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    2. P-Resolutions of Cyclic Quotients from the Toric Viewpoint

      • Klaus Altmann
      Pages 241-250

    3. On Characteristic Cones, Clusters and Chains of Infinitely Near Points

      • Antonio Campillo, Gérard González-Sprinberg
      Pages 251-261

    4. On Kleinian Singularities and Quivers

      • Heiko Cassens, Peter Slodowy
      Pages 263-288

    5. Seventeen Obstacles for Resolution of Singularities

      • Herwig Hauser
      Pages 289-313

  5. Applications

    1. Front Matter

      Pages 315-315
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Geometry and Topology, Steklov Mathematical Institute, Moscow GSP-1, Russia

    V. I. Arnold

  • CEREMADE, Université Paris-Dauphine, Paris Cedex 16e, France

    V. I. Arnold

  • Fachbereich Mathematik, Universität Kaiserslautern, Kaiserslautern, Germany

    G.-M. Greuel

  • Subfaculteit Wiskunde, Katholieke Universiteit Nijmegen Toernooiveld, Nijmegen, The Netherlands

    J. H. M. Steenbrink

Bibliographic Information

  • Book Title: Singularities

  • Book Subtitle: The Brieskorn Anniversary Volume

  • Editors: V. I. Arnold, G.-M. Greuel, J. H. M. Steenbrink

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8770-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Softcover ISBN: 978-3-0348-9767-9Published: 13 June 2012

  • eBook ISBN: 978-3-0348-8770-0Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: 488

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Geometry

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