Babbitt, Donald G.
Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations / [electronic resource] Donald G. Babbitt and V.S. Varadarajan. - Providence, R.I., USA : American Mathematical Society, 1985. - 1 online resource (iv, 147 p.) - Memoirs of the American Mathematical Society, v. 325 0065-9266 (print); 1947-6221 (online); .
"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 $\underset }$. Structure of deformations with constant $\underset }$ 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 $\mathcal _d$ 9. The main theorem for well-behaved connections over $\mathcal _d$ 10. Reduction of regulated connections Appendix
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470407384 (online)
Differential equations, Linear.
Functions, Meromorphic.
Singularities (Mathematics)
Matrices.
Rings (Algebra)
QA3 QA372 / .A57 no. 325
510 s 515.3/54
Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations / [electronic resource] Donald G. Babbitt and V.S. Varadarajan. - Providence, R.I., USA : American Mathematical Society, 1985. - 1 online resource (iv, 147 p.) - Memoirs of the American Mathematical Society, v. 325 0065-9266 (print); 1947-6221 (online); .
"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 $\underset }$. Structure of deformations with constant $\underset }$ 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 $\mathcal _d$ 9. The main theorem for well-behaved connections over $\mathcal _d$ 10. Reduction of regulated connections Appendix
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470407384 (online)
Differential equations, Linear.
Functions, Meromorphic.
Singularities (Mathematics)
Matrices.
Rings (Algebra)
QA3 QA372 / .A57 no. 325
510 s 515.3/54