1.

Record Nr.

UNINA9910788882303321

Autore

Babbitt Donald G.

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1985

©1985

ISBN

1-4704-0738-8

Descrizione fisica

1 online resource (157 p.)

Collana

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

Disciplina

515.3/54

Soggetti

Differential equations, Linear

Functions, Meromorphic

Singularities (Mathematics)

Matrices

Rings (Algebra)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

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

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""