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Singularity Theory and its Applications

Warwick 1989, Part I: Geometric Aspects of Singularities

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. David Mond
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  2. James Montaldi
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1462)

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Table of contents (23 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Symmetric lagrangian singularities and Gauss maps of theta divisors

    • Malcolm R. Adams, Clint McCrory, Theodore Shifrin, Robert Varley
    Pages 1-26

  3. On infinitesimal deformations of minimally elliptic singularities

    • Kurt Behnke
    Pages 27-41

  4. C-Régularité et trivialité topologique

    • K. Bekka
    Pages 42-62

  5. Folding maps and focal sets

    • J. W. Bruce, T. C. Wilkinson
    Pages 63-72

  6. The dual graph for space curves

    • Julio Castellanos
    Pages 73-80

  7. On the components and discriminant of the versal base space of cyclic quotient singularities

    • Jan Arthur Christophersen
    Pages 81-92

  8. - equivalence and the equivalence of sections of images and discriminants

    • James Damon
    Pages 93-121

  9. Differential forms and hypersurface singularities

    • Alexandru Dimca
    Pages 122-153

  10. Local reflexional and rotational symmetry in the plane

    • P. J. Giblin, F. Tari
    Pages 154-171

  11. The intersection form of a plane isolated line singularity

    • V. V. Goryunov
    Pages 172-184

  12. On the degree of an equivariant map

    • S. M. Gusein-Zade
    Pages 185-193

  13. Automorphisms of direct products of algebroid spaces

    • Herwig Hauser, Gerd Müller
    Pages 194-198

  14. Disentanglements

    • T. de Jong, D. van Straten
    Pages 199-211

  15. The euler characteristic of the disentanglement of the image of a corank 1 map germ

    • W. L. Marar
    Pages 212-220

  16. Vanishing cycles for analytic maps

    • David Mond
    Pages 221-234

  17. On complete conditions in enumerative geometry

    • Ruud Pellikaan
    Pages 235-257

  18. Right-symmetry of mappings

    • Andrew du Plessis, Leslie Charles Wilson
    Pages 258-275

  19. Deformations and the milnor number of non-isolated plane curve singularities

    • Rob Schrauwen
    Pages 276-291

  20. Vanishing cycles and special fibres

    • Dirk Siersma
    Pages 292-301
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Keywords

About this book

A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory, and applications in the sciences. The papers are orginal research, stimulated by the symposium and workshops: All have been refereed, and none will appear elsewhere. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications, and applications to differential geometry.

Bibliographic Information

  • Book Title: Singularity Theory and its Applications

  • Book Subtitle: Warwick 1989, Part I: Geometric Aspects of Singularities

  • Editors: David Mond, James Montaldi

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0086370

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-3-540-53737-3Published: 15 July 1991

  • eBook ISBN: 978-3-540-47060-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 410

  • Topics: Analysis, Algebraic Geometry

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