New Developments in Singularity Theory

  • D. Siersma
  • C. T. C. Wall
  • V. Zakalyukin

Part of the NATO Science Series book series (NAII, volume 21)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Singularities of real maps

    1. Front Matter
      Pages 1-1
    2. Vladimir Zakalyukin
      Pages 35-64
    3. Yuliy Baryshnikov
      Pages 65-86
    4. Jean-Paul Brasselet
      Pages 135-155
  3. Singular complex varietes

    1. Front Matter
      Pages 157-157
    2. Gert-Martin Greuel, Christoph Lossen
      Pages 159-192
    3. Mathias Schulze, Joseph Steenbrink
      Pages 217-233
    4. Alexandru Dimca
      Pages 257-278
    5. Sabir Gusein-Zade, Ignacio Luengo, Alejandro Melle Hernández
      Pages 279-304
    6. Peter Slodowy
      Pages 329-348
  4. Singularities of holomorphic maps

    1. Front Matter
      Pages 349-349
    2. Andrew A. du Plessis, C. T. C. Wall
      Pages 351-377

About this book

Introduction

Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions.
The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters.
The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.

Keywords

Meromorphic function Monodromy Tensor manifold singularity theory

Editors and affiliations

  • D. Siersma
    • 1
  • C. T. C. Wall
    • 2
  • V. Zakalyukin
    • 3
  1. 1.Department of MathematicsUniversity UtrechtUtrechtThe Netherlands
  2. 2.Mathematical SciencesLiverpoolUK
  3. 3.Moscow Aviation InstituteMoscowRussian Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-0834-1
  • Copyright Information Kluwer Academic Publishers 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-6997-4
  • Online ISBN 978-94-010-0834-1
  • Series Print ISSN 1568-2609
  • About this book