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Real and Complex Singularities

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Part of London Mathematical Society Lecture Note Series

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: In stock
  • format: Paperback
  • isbn: 9780521169691

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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: 0.58kg
    • contains: 40 b/w illus.
    • availability: In stock
  • 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.

  • 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

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