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Look Inside Real and Complex Singularities

Real and Complex Singularities

Part of London Mathematical Society Lecture Note Series

Editors:
M. Manoel, Universidade de São Paulo
M. C. Romero Fuster, Universitat de València, Spain
C. T. C. Wall, University of Liverpool

C. T. C. Wall, M. C. Romero Fuster, M. Manoel, E. Artal Bartolo, J. Carmona Ruber, A. Melle-Hernández, L. Birbrair, A. Fernandes, W. D. Neumann, Jean-Paul Brasselet, Nivaldo G. Grulha, Jr, C. A. Buzzi, L. A. Roberto, M. A. Teixeira, L. S. Challapa, J. L. Cisneros-Molina, R. N. Araújo dos Santos, Mauricio Corrêa, Jr, Márcio G. Soares, J. C. F. Costa, Terence Gaffney, R. Garcia, L. F. Mello, J. Sotomayor, Helmut A. Hamm, A. Hefez, M. E. Hernandes, Shyuichi Izumiya, Farid Tari, M. Kasedou, Isabel S. Labouriau, Paulo R. F. Pinto, J. Martínez-Alfaro, C. Mendes de Jesus, David B. Massey, T. Nishimura, Patrice Orro, David Trotman, Y. Yomdin

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Date Published: October 2010
availability: Available
format: Paperback
isbn: 9780521169691

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Description

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About the Authors

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
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Product details
- Date Published: October 2010
- format: Paperback
- isbn: 9780521169691
- length: 416 pages
- dimensions: 228 x 154 x 22 mm
- weight: 0.6kg
- contains: 40 b/w illus.
- availability: Available
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. Martínez-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.
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Editors
M. Manoel, Universidade de São Paulo
M. Manoel is Assistant Professor in the Department of Mathematics at the University of São Paulo.
M. C. Romero Fuster, Universitat de València, Spain
M. C. Romero Fuster is Assistant Professor in the Department of Geometry and Topology at the University of Valencia.
C. T. C. Wall, University of Liverpool
C. T. C. Wall is Emeritus Professor in the Department of Mathematical Sciences at the University of Liverpool.
Contributors
C. T. C. Wall, M. C. Romero Fuster, M. Manoel, E. Artal Bartolo, J. Carmona Ruber, A. Melle-Hernández, L. Birbrair, A. Fernandes, W. D. Neumann, Jean-Paul Brasselet, Nivaldo G. Grulha, Jr, C. A. Buzzi, L. A. Roberto, M. A. Teixeira, L. S. Challapa, J. L. Cisneros-Molina, R. N. Araújo dos Santos, Mauricio Corrêa, Jr, Márcio G. Soares, J. C. F. Costa, Terence Gaffney, R. Garcia, L. F. Mello, J. Sotomayor, Helmut A. Hamm, A. Hefez, M. E. Hernandes, Shyuichi Izumiya, Farid Tari, M. Kasedou, Isabel S. Labouriau, Paulo R. F. Pinto, J. Martínez-Alfaro, C. Mendes de Jesus, David B. Massey, T. Nishimura, Patrice Orro, David Trotman, Y. Yomdin