Singularity Theory and its Applications

1. Front Matter

   Pages I-VIII

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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

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.

• Algebroid
• deformation theory
• differential geometry
• minimum
• singularity theory

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