Generalization of an example of Hartshorne concerning local cohomology

Details Generalization of an example of Hartshorne concerning local cohomology Generalization of an example of Hartshorne concerning local cohomology

2007-03-06

arxiv.org/abs/math/0703147v1

Mathematics

Commutative Algebra

6 pages

Scientific paper

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\in R a prime element
such that p\in(Xn-1,Xn)R. Then H^{n-2}_I (R/pR) is not artinian.

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