Generalization of an example of Hartshorne concerning local cohomology
Abstract
We prove the following generalization of an example of Hartshorne: Let k be a field, n=4, R = k[[X1,...,Xn]], I = (X1,...,Xn-2)R and p∈ R a prime element such that p∈(Xn-1,Xn)R. Then Hn-2I (R/pR) is not artinian.
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