Generalization of an example of Hartshorne concerning local cohomology
Commutative Algebra
2007-05-23 v1
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\in R a prime element such that p\in(Xn-1,Xn)R. Then H^{n-2}_I (R/pR) is not artinian.
Cite
@article{arxiv.math/0703147,
title = {Generalization of an example of Hartshorne concerning local cohomology},
author = {Michael Hellus and Juergen Stueckrad},
journal= {arXiv preprint arXiv:math/0703147},
year = {2007}
}
Comments
6 pages