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Deformations of Nilpotent Matrices over Rings and Reduction of Analytic Families of Meromorphic Differential Equations
 
Front Cover for 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
147 pp 
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $18.60
Front Cover for Deformations of Nilpotent Matrices over Rings and Reduction of Analytic Families of Meromorphic Differential Equations
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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
147 pp 
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $18.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 551985
    MSC: Primary 34; Secondary 12; 14; 22;
  • Table of Contents
     
     
    • 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
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Volume: 551985
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
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