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Deformations of Nilpotent Matrices Over Rings and Reduction of Analytic Families of Meromorphic Differential Equations.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1985Copyright date: ©1985Edition: 1st edDescription: 1 online resource (157 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470407384
Subject(s): Genre/Form: Additional physical formats: Print version:: Deformations of Nilpotent Matrices Over Rings and Reduction of Analytic Families of Meromorphic Differential EquationsDDC classification:
  • 515.3/54
LOC classification:
  • QA372 -- .B333 1985eb
Online resources:
Contents:
Intro -- CONTENTS -- 1. INTRODUCTION -- NILPOTENT MATRICES OVER INTEGRAL DOMAINS: STRUCTURE AND DEFORMATION -- 2. The invariants l[sub(j)] -- 3. Local deformations of endomorphisms and modules over discrete valuation rings -- 4. Upper semicontinuity of l. Structure of deformations with constant l. -- 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 θ[sub(d)] -- 9. The main theorem for well-behaved connections over θ[sub(d)] -- 10. Reduction of regulated connections -- APPENDIX -- REFERENCES.
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Intro -- CONTENTS -- 1. INTRODUCTION -- NILPOTENT MATRICES OVER INTEGRAL DOMAINS: STRUCTURE AND DEFORMATION -- 2. The invariants l[sub(j)] -- 3. Local deformations of endomorphisms and modules over discrete valuation rings -- 4. Upper semicontinuity of l. Structure of deformations with constant l. -- 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 θ[sub(d)] -- 9. The main theorem for well-behaved connections over θ[sub(d)] -- 10. Reduction of regulated connections -- APPENDIX -- REFERENCES.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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