Local cohomology

General Introduction
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Online References
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Paper References
TwentyFour Hours of Local Cohomology. AMS.
Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics) fra Mathematics by: M. P. Brodmann, R. Y. Sharp
Brodmann and Sharp: Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics)
Section 4.6 in Weibel: An introduction to homological algebra.
I think there are some seminar notes by Hartshorne (1961) (in the Moore library)
Hartshorne: LNM0041 Local cohomology. A heavier and more general treatment might possibly be found in Residues and duality, by the same author.
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
arXiv:1001.0862 Abstract local cohomology functors from arXiv Front: math.CT by Yuji Yoshino, Takeshi Yoshizawa We propose to define the notion of abstract local cohomology functors. The derived functors of the ordinary local cohomology functor with support in the closed subset defined by an ideal and the generalized local cohomology functor associated with a given pair of ideals are characterized as elements of the set of all the abstract local cohomology functors.
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