Generalization of an example of Hartshorne concerning local cohomology

2007/03/06 by Michael Hellus, Hellus, Michael, Juergen Stueckrad +1 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13D45 #msc:13E10

paper · pdf · doi:10.48550/arxiv.math/0703147

6 pages

arxiv created 2007/03/06 · arxiv updated 2009/12/01

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 H^n-2_I (R/pR) is not artinian.

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