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Real and complex singularities / edited by M. Manoel, M.C. Romero Fuster, C.T.C Wall.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 380.Publisher: Cambridge : Cambridge University Press, 2010Description: 1 online resource (396 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511731983 (ebook)
Other title:
  • Real & Complex Singularities
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 516.3/5 22
LOC classification:
  • QA614.58 .I527 2008
Online resources:
Contents:
On a conjecture / 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. Marti;nez-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.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

On a conjecture / 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. Marti;nez-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.

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.

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