Deformations of Nilpotent Matrices Over Rings and Reduction of Analytic Families of Meromorphic Differential Equations.
Babbitt, Donald G.
Deformations of Nilpotent Matrices Over Rings and Reduction of Analytic Families of Meromorphic Differential Equations. - 1st ed. - 1 online resource (157 pages) - Memoirs of the American Mathematical Society ; v.55 . - Memoirs of the American Mathematical Society .
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.
9781470407384
Differential equations, Linear.
Functions, Meromorphic.
Singularities (Mathematics).
Matrices.
Rings (Algebra).
Electronic books.
QA372 -- .B333 1985eb
515.3/54
Deformations of Nilpotent Matrices Over Rings and Reduction of Analytic Families of Meromorphic Differential Equations. - 1st ed. - 1 online resource (157 pages) - Memoirs of the American Mathematical Society ; v.55 . - Memoirs of the American Mathematical Society .
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.
9781470407384
Differential equations, Linear.
Functions, Meromorphic.
Singularities (Mathematics).
Matrices.
Rings (Algebra).
Electronic books.
QA372 -- .B333 1985eb
515.3/54