Abstract local cohomology functors

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Yoshino, Yuji, Yoshizawa, Takeshi
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.01.2010
Subjects
Homology
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Summary: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.
ISSN:2331-8422