Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations / Donald G. Babbitt and V.S. Varadarajan.

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Bibliographic Details
Online Access: Full Text (via ProQuest)
Main Authors: Babbitt, Donald G. (Author), Varadarajan, V. S. (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 1985.
Series:Memoirs of the American Mathematical Society ; no. 325.
Subjects:
Table of Contents:
  • 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 Î?[sub(d)]""; ""9. The main theorem for well-behaved connections over Î?[sub(d)]""; ""10. Reduction of regulated connections""; ""APPENDIX""; ""REFERENCES""