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

By: Babbitt, Donald GContributor(s): Varadarajan, V. SMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 325Publication details: Providence, R.I., USA : American Mathematical Society, 1985Description: 1 online resource (iv, 147 p.)ISBN: 9781470407384 (online)Subject(s): Differential equations, Linear | Functions, Meromorphic | Singularities (Mathematics) | Matrices | Rings (Algebra)Additional physical formats: Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations /DDC classification: 510 s | 515.3/54 LOC classification: QA3 | .A57 no. 325 | QA372Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Link to resource Available EBK12778

"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

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