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Desingularization of Nilpotent Singularities in Families of Planar Vector Fields
 
Daniel Panazzolo Instituto de Matemática e Estatística, São Paolo, Brazil
Front Cover for Desingularization of Nilpotent Singularities in Families of Planar Vector Fields
Available Formats:
Electronic ISBN: 978-1-4704-0346-1
Product Code: MEMO/158/753.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
Front Cover for Desingularization of Nilpotent Singularities in Families of Planar Vector Fields
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  • Front Cover for Desingularization of Nilpotent Singularities in Families of Planar Vector Fields
  • Back Cover for Desingularization of Nilpotent Singularities in Families of Planar Vector Fields
Desingularization of Nilpotent Singularities in Families of Planar Vector Fields
Daniel Panazzolo Instituto de Matemática e Estatística, São Paolo, Brazil
Available Formats:
Electronic ISBN:  978-1-4704-0346-1
Product Code:  MEMO/158/753.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $36.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1582002; 108 pp
    MSC: Primary 32; Secondary 58; 14;

    In this work, we prove a desingularization theorem for analytic families of two-dimensional vector fields, under the hypothesis that all its singularities have a non-vanishing first jet. Application to problems of Singular Perturbations and Finite Cyclicity are discussed in the last chapter.

    Readership

    Graduate students and research mathematicians interested in several complex variables and analytic spaces.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Background material
    • 3. Nilpotent families and trivialization
    • 4. Desingularization of nilpotent singularities
    • 5. The proof of the desingularization theorem
    • 6. Applications
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Volume: 1582002; 108 pp
MSC: Primary 32; Secondary 58; 14;

In this work, we prove a desingularization theorem for analytic families of two-dimensional vector fields, under the hypothesis that all its singularities have a non-vanishing first jet. Application to problems of Singular Perturbations and Finite Cyclicity are discussed in the last chapter.

Readership

Graduate students and research mathematicians interested in several complex variables and analytic spaces.

  • Chapters
  • 1. Introduction
  • 2. Background material
  • 3. Nilpotent families and trivialization
  • 4. Desingularization of nilpotent singularities
  • 5. The proof of the desingularization theorem
  • 6. Applications
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