02915nam 2200637 450 991081712050332120170821172555.01-4704-0738-8(CKB)3360000000464533(EBL)3113918(SSID)ssj0000888871(PQKBManifestationID)11480047(PQKBTitleCode)TC0000888871(PQKBWorkID)10864963(PQKB)10618531(MiAaPQ)EBC3113918(RPAM)2859014(PPN)195412060(EXLCZ)99336000000046453320140905h19851985 uy 0engur|n|---|||||txtccrDeformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations /Donald G. Babbitt and V.S. VaradarajanProvidence, Rhode Island :American Mathematical Society,1985.©19851 online resource (157 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 325"May 1985, volume 55, number 325 (first of 2 numbers)."0-8218-2326-4 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Number 325.Differential equations, LinearFunctions, MeromorphicSingularities (Mathematics)MatricesRings (Algebra)Differential equations, Linear.Functions, Meromorphic.Singularities (Mathematics)Matrices.Rings (Algebra)515.3/54Babbitt Donald G.322822Varadarajan V. S.MiAaPQMiAaPQMiAaPQBOOK9910817120503321Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations3936629UNINA