An error was encountered while trying to add the item to the cart. Please try again.
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
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
• Request Review Copy
• Get Permissions
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.