Analytic D-Modules and Applications
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1993, 1993
|
| Edition: | 1st ed. 1993 |
| Series: | Mathematics and Its Applications
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. The sheaf DX and its modules
- II. Operations on D-modules
- III. Holonomic D-modules
- IV. Deligne modules
- V. Regular holonomic D-modules
- VI. b-functions
- VII. Distributions and regular holonomic systems
- VIII. Microdifferential operators
- A:I Derived Categories
- Summary
- A:I.1 The construction of derived categories
- A:I.2. Properties of derived categories
- A:I.3. Injective resolutions
- A:I.4. Spectral sequences
- A:II Sheaf Theory
- Summary
- A:II.1. The category of sheaves
- A:II.2. Operations on sheaves
- A:II.3. The derived category of sheaves
- A:II.4. Flabby sheaves
- A:II.5. Sheaves on paracompact manifolds
- A:II.6. Ringed spaces
- A:II.7. Derived categories of modules
- A:III Filtered rings
- Summary
- A:III.1. Filtered rings
- A:III.2. Filtered sheaves of rings
- A:III.3. Gabber’s Theorem
- A:IV Homological algebra
- Summary
- A:IV.1. Basic facts in homological algebra
- A:IV.2. Auslander regular rings
- A:IV.3. Commutative algebra
- A:IV.4. Filtered Auslander regular rings
- A:V Complex analysis
- Summary
- A:V.2. Analysis on complex manifolds
- A:V.4. The local Milnor fibrations
- A:VI Analytic geometry
- Summary
- A:VI.1. Subanalytic sets
- A:VII Symplectic analysis
- Summary
- A:VII.1. Symplectic algebra
- A:VII:3. Lagrangian varieties
- A:VII.4. Lagrangian varieties in generic position
- References
- List of notations