Real and complex singularities : proceedings of the Seventh International Workshop on Real and Complex Singluarlities, July 29-August 2, 2002, ICMC-USP, São Carlos, Brazil

書誌事項

Real and complex singularities : proceedings of the Seventh International Workshop on Real and Complex Singluarlities, July 29-August 2, 2002, ICMC-USP, São Carlos, Brazil

Terence Gaffney, Maria Aparecida Soares Ruas, editors

(Contemporary mathematics, v. 354)

American Mathematical Society, c2004

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

Zero curves of families of curve congruences by J. W. Bruce, G. J. Fletcher, and F. Tari Hypersurface complements, Alexander modules and monodromy by A. Dimca and A. Nemethi Invariance of the diagonal contribution in a bitangency formula by D. Dreibelbis Bounds on leaves of foliations of the plane by E. Esteves and S. L. Kleiman Calculation of Thom polynomials and other cohomological obstructions for group actions by L. Feher and R. Rimanyi On the bilipschitz triviality of families of real maps by A. C. G. Fernandes and C. H. Soares, Jr. A note on the path formulation for $(\mathbb{O}(2),\mathbb{SO}(2))$-forced symmetry breaking bifurcation by J.-E. Furter and A. M. Sitta Polar methods, invariants of pairs of modules and equisingularity by T. Gaffney Stability of equilibria in equations of Hodgkin-Huxley type by I. S. Labouriau and C. M. S. G. Rito Isolated non-normal crossings by A. Libgober Invariants of normal surface singularities by A. Nemethi Families of pairs of Hamiltonian vector fields in the plane by R. D. S. Oliveira Topology of unfoldings of singularities in the $E, Z$ and $Q$ series by A. A. du Plessis and C. T. C. Wall Semiumbilics and geometrical dynamics on surfaces in 4-spaces by M. C. Romero-Fuster On the vanishing cycles of a meromorphic function on the complement of its poles by D. Siersma and M. Tibar Some adjacencies to cusp singularities by J. Stevens Elimination of singularities by cobordism by A. Szucs.

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