A Primer of Algebraic D-Modules

✍ Scribed by S. C. Coutinho

• Publisher: Cambridge University Press
• Year: 1995
• Tongue: English
• Leaves: 221
• Series: London Mathematical Society Student Texts #33
• Category: Library

✦ Table of Contents

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)