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Local Cohomology: An Algebraic Introduction with Geometric Applications

Edition: 
2
Publisher: 
Cambridge University Press
Number of Pages: 
491
Price: 
80.00
ISBN: 
9780521513630
Date Received: 
Monday, February 11, 2013
Reviewable: 
No
Include In BLL Rating: 
No
M. P. Brodmann and R. Y. Sharp
Series: 
Cambridge Studies in Advanced Mathematics 136
Publication Date: 
2013
Format: 
Hardcover
Category: 
Monograph

Preface to the First Edition
Preface to the Second Edition
Notation and conventions
1. The local cohomology functors
2. Torsion modules and ideal transforms
3. The Mayer–Vietoris sequence
4. Change of rings
5. Other approaches
6. Fundamental vanishing theorems
7. Artinian local cohomology modules
8. The Lichtenbaum–Hartshorne Theorem
9. The Annihilator and Finiteness Theorems
10. Matlis duality
11. Local duality
12. Canonical modules
13. Foundations in the graded case
14. Graded versions of basic theorems
15. Links with projective varieties
16. Castelnuovo regularity
17. Hilbert polynomials
18. Applications to reductions of ideals
19. Connectivity in algebraic varieties
20. Links with sheaf cohomology
Bibliography
Index.

Publish Book: 
Modify Date: 
Monday, February 11, 2013

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