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9780821836651

Real And Complex Singularities

by ;
  • ISBN13:

    9780821836651

  • ISBN10:

    082183665X

  • Format: Paperback
  • Copyright: 2004-09-11
  • Publisher: Amer Mathematical Society

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Summary

The Workshop on Real and Complex Singularities is held every other year at the Instituto de Ciencias Matematicas e de Computacao (Sao Carlos, Brazil) and brings together specialists in the vanguard of singularities and its applications. This volume contains articles contributed by participants of the seventh workshop. The included papers reflect Fields Medalist Rene Thom's original vision of singularities and represent all branches of the subject: equisingularity of sets and mappings, the geometry of singular complex analytic sets, singularities of mappings and their elimination, characteristic classes, applications to differential geometry, differential equations, and bifurcation theory. The book is suitable for graduate students and researchers interested in singularity theory.

Table of Contents

Preface vii
List of Participants
ix
Zero Curves of Families of Curve Congruences
1(18)
J. W. Bruce
G. J. Fletcher
F. Tari
Hypersurface Complements, Alexander Modules and Monodromy
19(26)
A. Dimca
A. Nemethi
Invariance of the Diagonal Contribution in a Bitangency Formula
45(12)
D. Dreibelbis
Bounds on Leaves of Foliations of the Plane
57(12)
E. Esteves
S. Kleiman
Calculation of Thom Polynomials and Other Cohomological Obstructions for Group Actions
69(26)
L. Feher
R. Rimanyi
On the Bilipschitz Triviality of Families of Real Maps
95(10)
A. C. G. Fernandes
C. H. Soares Jr.
A Note on the Path Formulation for (O(2), SO(2))-Forced Symmetry Breaking Bifurcation
105(8)
J.-E. Furter
A. M. Sitta
Polar Methods, Invariants of Pairs of Modules and Equisingularity
113(24)
T. Gaffney
Stability of Equilibria in Equations of Hodgkin-Huxley Type
137(8)
I. Labouriau
C. M. S. G. Rito
Isolated Non-Normal Crossings
145(16)
A. Libgober
Invariants of Normal Surface Singularities
161(48)
A. Nemethi
Families of Pairs of Hamiltonian Vector Fields in the Plane
209(18)
R. D. S. Oliveira
Topology of Unfoldings of Singularities in the E, Z and Q Series
227(32)
A. A. Du Plessis
C. T. C. Wall
Semiumbilics and Geometrical Dynamics on Surfaces in 4-Spaces
259(18)
M. C. Romero-Fuster
On the Vanishing Cycles of a Meromorphic Function on the Complement of its Poles
277(14)
D. Siersma
M. Tibar
Some Adjacencies to Cusp Singularities
291(10)
J. Stevens
Elimination of Singularities by Cobordism
301
A. Szucs

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