ENGLISH

A Primer of Algebraic D-Modules

By S. C. Coutinho

Book information

Publisher
Cambridge University Press
Year
1995
ISBN
0521551196, 0521559081
Language
english
Format
PDF
Filesize
13 MB (13607073 bytes)
Series
London Mathematical Society Student Texts #33
Pages
\221
Topic
Mathematics Algebra
Time added
2021-10-13 01:13:02

Description

Cover Title Contents Preface Introduction 1. The Weyl algebra 2. Ideal structure of the Weyl algebra 3. Rings of differential operators 4. Jacobian conjecture 5. Modules over the Weyl algebra 6. Differential equations 7. Graded and filtered modules 8. Noetherian rings and modules 9. Dimension and multiplicity 10. Holonomic modules 11. Characteristic varieties 12. Tensor products 13. External products 14. Inverse images 15. Embeddings 16. Direct images 17. Kashiwara's theorem 18. Preservation of holonomy 19. Stability of differential equations 20. Automatic proof of identities Coda Appendix 1. Defining the action of a module using generators Appendix 2. Local inversion theorem References Index Errata (April 16, 2000)

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