Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Chapter 1 The Weyl algebra
- Chapter 2 Ideal structure of the Weyl algebra
- Chapter 3 Rings of differential operators
- Chapter 4 Jacobian Conjecture
- Chapter 5 Modules over the Weyl algebra
- Chapter 6 Differential equations
- Chapter 7 Graded and filtered modules
- Chapter 8 Noetherian rings and modules
- Chapter 9 Dimension and multiplicity
- Chapter 10 Holonomic modules
- Chapter 11 Characteristic varieties
- Chapter 12 Tensor products
- Chapter 13 External products
- Chapter 14 Inverse Image
- Chapter 15 Embeddings
- Chapter 16 Direct images
- Chapter 17 Kashiwara's theorem
- Chapter 18 Preservation of holonomy
- Chapter 19 Stability of differential equations
- Chapter 20 Automatic proof of identities
- Coda
- Appendix 1 Defining the action of a module using generators
- Appendix 2 Local inversion theorem
- References
- Index
Chapter 9 - Dimension and multiplicity
Published online by Cambridge University Press: 29 December 2009
- Frontmatter
- Contents
- Preface
- Introduction
- Chapter 1 The Weyl algebra
- Chapter 2 Ideal structure of the Weyl algebra
- Chapter 3 Rings of differential operators
- Chapter 4 Jacobian Conjecture
- Chapter 5 Modules over the Weyl algebra
- Chapter 6 Differential equations
- Chapter 7 Graded and filtered modules
- Chapter 8 Noetherian rings and modules
- Chapter 9 Dimension and multiplicity
- Chapter 10 Holonomic modules
- Chapter 11 Characteristic varieties
- Chapter 12 Tensor products
- Chapter 13 External products
- Chapter 14 Inverse Image
- Chapter 15 Embeddings
- Chapter 16 Direct images
- Chapter 17 Kashiwara's theorem
- Chapter 18 Preservation of holonomy
- Chapter 19 Stability of differential equations
- Chapter 20 Automatic proof of identities
- Coda
- Appendix 1 Defining the action of a module using generators
- Appendix 2 Local inversion theorem
- References
- Index
Summary
- Type
- Chapter
- Information
- A Primer of Algebraic D-Modules , pp. 74 - 85Publisher: Cambridge University PressPrint publication year: 1995