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

"May 1985, volume 55, number 325 (first of 2 numbers)."

Bibliography: p. 145-147.

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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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