**Contemporary Mathematics**

Volume: 354;
2004;
324 pp;
Softcover

MSC: Primary 32; 58; 37; 53;

Print ISBN: 978-0-8218-3665-1

Product Code: CONM/354

List Price: $103.00

Individual Member Price: $82.40

**Electronic ISBN: 978-0-8218-7944-3
Product Code: CONM/354.E**

List Price: $103.00

Individual Member Price: $82.40

# Real and Complex Singularities

Share this page *Edited by *
*Terence Gaffney; Maria Aparecida Soares Ruas*

The Workshop on Real and Complex Singularities is held every
other year at the Instituto de Ciências Matemáticas e de
Computação (São 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 René 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.

#### Readership

Graduate students and research mathematicians interested in singularity theory.

# Table of Contents

## Real and Complex Singularities

- Contents v6 free
- Preface vii8 free
- List of Participants ix10 free
- Zero Curves of Families of Curve Congruences 114 free
- Hypersurface Complements, Alexander Modules and Monodromy 1932
- Invariance of the Diagonal Contribution in a Bitangency Formula 4558
- Bounds on Leaves of Foliations of the Plane 5770
- Calculation of Thom Polynomials and Other Cohomological Obstructions for Group Actions 6982
- On the Bilipschitz Triviality of Families of Real Maps 95108
- A Note on the Path Formulation for (O(2), SO(2))-Forced Symmetry Breaking Bifurcation 105118
- Polar Methods, Invariants of Pairs of Modules and Equisingularity 113126
- Stability of Equilibria in Equations of Hodgkin-Huxley Type 137150
- Isolated Non-Normal Crossings 145158
- Invariants of Normal Surface Singularities 161174
- Families of Pairs of Hamiltonian Vector Fields in the Plane 209222
- Topology of Unfoldings of Singularities in the E, Z and Q Series 227240
- Semiumbilics and Geometrical Dynamics on Surfaces in 4-Spaces 259272
- On the Vanishing Cycles of a Meromorphic Function on the Complement of its Poles 277290
- Some Adjacencies to Cusp Singularities 291304
- Elimination of Singularities by Cobordism 301314