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Singularities in Geometry, Topology, Foliations and Dynamics

A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. José Luis Cisneros-Molina

    1. Unidad Cuernavaca, Instituto de Matemáticas, UNAM, Cuernavaca, Morelos, Mexico

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  2. Dũng Tráng Lê

    1. Centre de mathématiques et informatique, Université d’Aix-Marseille, Marseille , France

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  3. Mutsuo Oka

    1. Tokyo University of Science, Tokyo, Japan

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  4. Jawad Snoussi

    1. Unidad Cuernavaca, Instituto de Matemáticas, UNAM, Cuernavaca, Morelos, Mexico

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  • Presents authoritative research on Singularity Theory in different settings
  • Provides recent developments in Singularity Theory written by specialists in the area

Part of the book series: Trends in Mathematics (TM)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Extending the Action of Schottky Groups on the Complex Anti-de Sitter Space to the Projective Space

    • Vanessa Alderete, Carlos Cabrera, Angel Cano, Mayra Méndez
    Pages 1-16

  3. Puiseux Parametric Equations via the Amoeba of the Discriminant

    • Fuensanta Aroca, Víctor Manuel Saavedra
    Pages 17-30

  4. Some Open Questions on Arithmetic Zariski Pairs

    • Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín
    Pages 31-54

  5. Logarithmic Vector Fields and the Severi Strata in the Discriminant

    • Paul Cadman, David Mond, Duco van Straten
    Pages 55-76

  6. Classification of Isolated Polar Weighted Homogeneous Singularities

    • José Luis Cisneros-Molina, Agustín Romano-Velázquez
    Pages 77-104

  7. Rational and Iterated Maps, Degeneracy Loci, and the Generalized Riemann-Hurwitz Formula

    • James F. Glazebrook, Alberto Verjovsky
    Pages 105-124

  8. On Singular Varieties with Smooth Subvarieties

    • María del Rosario González-Dorrego
    Pages 125-134

  9. On Polars of Plane Branches

    • A. Hefez, M. E. Hernandes, M. F. Hernández Iglesias
    Pages 135-153

  10. Singular Intersections of Quadrics I

    • Santiago López de Medrano
    Pages 155-170

  11. A New Conjecture, a New Invariant, and a New Non-splitting Result

    • David B. Massey
    Pages 171-181

  12. Lipschitz Geometry Does not Determine Embedded Topological Type

    • Walter D. Neumann, Anne Pichon
    Pages 183-195

  13. Projective Transverse Structures for Some Foliations

    • Paulo Sad
    Pages 197-206

  14. Chern Classes and Transversality for Singular Spaces

    • Jörg Schürmann
    Pages 207-231
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Keywords

About this book

This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings.

Singularity theory is at the crossroad of various branches of mathematics and science in general. In recent years there have been remarkable developments, both in the theory itself and in its relations with other areas.


The contributions in this volume originate from the “Workshop on Singularities in Geometry, Topology, Foliations and Dynamics”, held in Merida, Mexico, in December 2014, in celebration of José Seade’s 60th Birthday.

It is intended for researchers and graduate students interested in singularity theory and its impact on other fields.

Editors and Affiliations

  • Unidad Cuernavaca, Instituto de Matemáticas, UNAM, Cuernavaca, Morelos, Mexico

    José Luis Cisneros-Molina, Jawad Snoussi

  • Centre de mathématiques et informatique, Université d’Aix-Marseille, Marseille , France

    Dũng Tráng Lê

  • Tokyo University of Science, Tokyo, Japan

    Mutsuo Oka

Bibliographic Information

  • Book Title: Singularities in Geometry, Topology, Foliations and Dynamics

  • Book Subtitle: A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014

  • Editors: José Luis Cisneros-Molina, Dũng Tráng Lê, Mutsuo Oka, Jawad Snoussi

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-39339-1

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2017

  • Hardcover ISBN: 978-3-319-39338-4Published: 14 February 2017

  • Softcover ISBN: 978-3-319-81870-2Published: 12 July 2018

  • eBook ISBN: 978-3-319-39339-1Published: 13 February 2017

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XVII, 231

  • Number of Illustrations: 5 b/w illustrations, 10 illustrations in colour

  • Topics: Several Complex Variables and Analytic Spaces, Algebraic Geometry, Global Analysis and Analysis on Manifolds

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