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Holomorphic Dynamics

Proceedings of the Second International Colloquium on Dynamical Systems, held in Mexico, July 1986

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Xavier Gomez-Mont
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  2. José A. Seade
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  3. Alberto Verjovski
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1345)

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About this book

The objective of the meeting was to have together leading specialists in the field of Holomorphic Dynamical Systems in order to present their current reseach in the field. The scope was to cover iteration theory of holomorphic mappings (i.e. rational maps), holomorphic differential equations and foliations. Many of the conferences and articles included in the volume contain open problems of current interest. The volume contains only research articles.

Keywords

Table of contents (17 papers)

  1. Front Matter

    Pages N2-VI
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  2. First integrals for singular holomorphic foliations with leaves of bounded volume

    • J. C. Alexander, Alberto Verjovsky
    Pages 1-10

  3. Surgery on complex polynomials

    • Bodil Branner, Adrien Douady
    Pages 11-72

  4. Dicriticalness of a singular foliation

    • F. Cano
    Pages 73-94

  5. Invariant manifolds and a preparation lemma for local holomorphic flows and actions

    • Marc Chaperon
    Pages 95-110

  6. Stabilite des V-varietes kahleriennes

    • Aziz El Kacimi Alaoui
    Pages 111-123

  7. Cyclic resultants of reciprocal polynomials

    • David Fried
    Pages 124-128

  8. Persistent cycles for holomorphic foliations having a meromorphic first integral

    • Xavier Gómez-Mont, Jesús Muciño
    Pages 129-162

  9. Weakly mixing billiards

    • E. Gutkin, A. Katok
    Pages 163-176

  10. Blow up techniques in the kepler problem

    • Ernesto A. Lacomba, Guillermo Sienra
    Pages 177-191

  11. Algebraic solutions of polynomial differential equations and foliations in dimension two

    • Alcides Lins Neto
    Pages 192-232

  12. The space of siegel leaves of a holomorphic vector field

    • Santiago López de Medrano
    Pages 233-245

  13. Deformations of singular holomorphic foliations on reduced compact ℂ-analytic spaces

    • Geneviève Pourcin
    Pages 246-255

  14. Product singularities and quotients

    • K. Reichard, K. Spallek
    Pages 256-270

  15. Leafspaces and integrability

    • Hans-Jörg Reiffen
    Pages 271-293

  16. Structural stability of germs of vector fields on surfaces with a simple singularity

    • Federico Sánchez-Bringas
    Pages 294-301

  17. Atiyah sequences and complete closed pseudogroups preserving a local parallelism

    • Ana Maria F. Silva
    Pages 302-316

  18. Sur les bouts d'une feuille d'un feuilletage au voisinage d'un point singulier isolé

    • R. Thom
    Pages 317-321

  19. Back Matter

    Pages 323-329
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Bibliographic Information

  • Book Title: Holomorphic Dynamics

  • Book Subtitle: Proceedings of the Second International Colloquium on Dynamical Systems, held in Mexico, July 1986

  • Editors: Xavier Gomez-Mont, José A. Seade, Alberto Verjovski

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0081393

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-50226-5Published: 12 October 1988

  • eBook ISBN: 978-3-540-45957-6Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 328

  • Topics: Analysis

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