Local cohomology : an algebraic introduction with geometric applications /
This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.
Saved in:
| Online Access: |
Full text (MCPHS users only) |
|---|---|
| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2013
|
| Edition: | 2nd ed. |
| Series: | Cambridge studies in advanced mathematics ;
136. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- The local cohomology functors
- Torsion modules and ideal transforms
- The Mayer-Vietoris sequence
- Change of rings
- Other approaches
- Fundamental vanishing theorems
- Artinian local cohomology modules
- The Lichtenbaum-Hartshorne Theorem
- The Annihilator and Finiteness Theorems
- Matlis duality
- Local duality
- Canonical modules
- Foundations in the graded case
- Graded versions of basic theorems
- Links with projective varieties
- Castelnuovo regularity
- Hilbert polynomials
- Applications to reductions of ideals
- Connectivity in algebraic varieties
- Links with sheaf cohomology.
