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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 Click above image for expanded view 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
• Book Details

Memoirs of the American Mathematical Society
Volume: 551985; 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
• Requests

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
Volume: 551985; 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
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