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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 Click above image for expanded view 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.

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
• Requests

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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.

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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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