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Deformations of Nilpotent Matrices over Rings and Reduction of Analytic Families of Meromorphic Differential Equations
Available Formats:
Electronic ISBN: 978-1-4704-0738-4
Product Code: MEMO/55/325.E
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $18.60
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Deformations of Nilpotent Matrices over Rings and Reduction of Analytic Families of Meromorphic Differential Equations
Available Formats:
| Electronic ISBN: | 978-1-4704-0738-4 |
| Product Code: | MEMO/55/325.E |
| List Price: | $31.00 |
| MAA Member Price: | $27.90 |
| AMS Member Price: | $18.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 55; 1985; 147 ppMSC: Primary 34; Secondary 12; 14; 22;
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Table of Contents
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Chapters
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1. Introduction
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Nilpotent matrices over integral domains: Structure and deformation
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2. The invariants $\ell _j$
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3. Local deformations of endomorphisms and modules over discrete valuation rings
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4. Upper semicontinuity of $\underset {\tilde {}}{\ell }$. Structure of deformations with constant $\underset {\tilde {}}{\ell }$
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5. Admissible nilpotents and their transversal deformations
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Reduction theory of connections over integrally closed Noetherian domains
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6. Generalities and preliminaries
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7. Connections over Dedekind domains
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8. The general case: reduction in the category of differential modules
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Reduction of connections over $\mathcal {O}_d$
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9. The main theorem for well-behaved connections over $\mathcal {O}_d$
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10. Reduction of regulated connections
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Appendix
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 55; 1985; 147 pp
MSC: Primary 34; Secondary 12; 14; 22;
-
Chapters
-
1. Introduction
-
Nilpotent matrices over integral domains: Structure and deformation
-
2. The invariants $\ell _j$
-
3. Local deformations of endomorphisms and modules over discrete valuation rings
-
4. Upper semicontinuity of $\underset {\tilde {}}{\ell }$. Structure of deformations with constant $\underset {\tilde {}}{\ell }$
-
5. Admissible nilpotents and their transversal deformations
-
Reduction theory of connections over integrally closed Noetherian domains
-
6. Generalities and preliminaries
-
7. Connections over Dedekind domains
-
8. The general case: reduction in the category of differential modules
-
Reduction of connections over $\mathcal {O}_d$
-
9. The main theorem for well-behaved connections over $\mathcal {O}_d$
-
10. Reduction of regulated connections
-
Appendix
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
Please select which format for which you are requesting permissions.