Real and Complex Singularities
The biennial meetings at São Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to a wide variety of topics in both pure and applied mathematics. The tenth meeting, celebrating the 60th birthdays of Terence Gaffney and Maria Aparecida Soares Ruas, was a special occasion attracting the best known names in the area. This volume contains contributions by the attendees, including three articles written or co-authored by Gaffney himself, and survey articles on the existence of Milnor fibrations, global classifications and graphs, pairs of foliations on surfaces, and Gaffney's work on equisingularity.
- Written by leading experts in their field, including Terence Gaffney
- Includes the latest results in an active area of research
- Provides useful surveys of the subject
Product details
No date availablePaperback
9780521169691
416 pages
228 × 154 × 22 mm
0.6kg
40 b/w illus.
Table of Contents
- Preface C. T. C. Wall, M. C. Romero Fuster and M. Manoel
- On a conjecture by A. Durfee E. Artal Bartolo, J. Carmona Ruber and A. Melle-Hernández
- On normal embedding of complex algebraic surfaces L. Birbrair, A. Fernandes and W. D. Neumann
- Local Euler obstruction, old and new, II Jean-Paul Brasselet and Nivaldo G. Grulha, Jr
- Branching of periodic orbits in reversible Hamiltonian systems C. A. Buzzi, L. A. Roberto and M. A. Teixeira
- Topological invariance of the index of a binary differential equation L. S. Challapa
- About the existence of Milnor fibrations J. L. Cisneros-Molina and R. N. Araújo dos Santos
- Counting hypersurfaces invariant by one-dimensional complex foliations Mauricio Corrêa, Jr and Márcio G. Soares
- A note on topological contact equivalence J. C. F. Costa
- Bi-Lipschitz equivalence, integral closure and invariants Terence Gaffney
- Solutions to PDEs and stratification conditions Terence Gaffney
- Real integral closure and Milnor fibrations Terence Gaffney and R. N. Araújo dos Santos
- Surfaces around closed principal curvature lines, an inverse problem R. Garcia, L. F. Mello and J. Sotomayor
- Euler characteristics and atypical values Helmut A. Hamm
- Answer to a question of Zariski A. Hefez and M. E. Hernandes
- Projections of timelike surfaces in the de Sitter space Shyuichi Izumiya and Farid Tari
- Spacelike submanifolds of codimension at most two in de Sitter space M. Kasedou
- The geometry of Hopf and saddle-node bifurcations for waves of Hodgkin-Huxley type Isabel S. Labouriau and Paulo R. F. Pinto
- Global classifications and graphs J. MartÃnez-Alfaro, C. Mendes de Jesus and M. C. Romero-Fuster
- Real analytic Milnor fibrations and a strong Lojasiewicz inequality David B. Massey
- An estimate of the degree of L-determinacy by the degree of A-determinacy for curve germs T. Nishimura
- Regularity of the transverse intersection of two regular stratifications Patrice Orro and David Trotman
- Pairs of foliations on surfaces Farid Tari
- Bi-Lipschitz equisingularity David Trotman
- Gaffney's work on equisingularity C. T. C. Wall
- Singularities in algebraic data acquisition Y. Yomdin.