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

Format:

Book

Author/Creator:

Babbitt, Donald G., author.

Varadarajan, V. S., author.

Series:

Memoirs of the American Mathematical Society ; Number 325.

Memoirs of the American Mathematical Society, 0065-9266 ; Number 325

Language:

English

Subjects (All):

Differential equations, Linear.

Functions, Meromorphic.

Singularities (Mathematics).

Matrices.

Rings (Algebra).

Physical Description:

1 online resource (157 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1985.

Language Note:

English

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""

Notes:

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

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0738-8