| 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 158; 2002; 108 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in several complex variables and analytic spaces.
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Table of Contents
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Chapters
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1. Introduction
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2. Background material
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3. Nilpotent families and trivialization
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4. Desingularization of nilpotent singularities
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5. The proof of the desingularization theorem
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6. Applications
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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
