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Abstract: We propose to define the notion of abstract local cohomology functors. Thederived functors of the ordinary local cohomology functor with support in theclosed subset defined by an ideal and the generalized local cohomology functorassociated with a given pair of ideals are characterized as elements of the setof all the abstract local cohomology functors.



Author: Yuji Yoshino, Takeshi Yoshizawa

Source: https://arxiv.org/







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