ATTACHED PRIMES OF LOCAL COHOMOLOGY MODULES OF COMPLEXES

Abstract

. Let ( R, m ) be a local ring, Z a specialization closed subset of Spec R and X an R -complex with finitely generated homology and finite dimension. We show that Att R H dim X Z ( X ) = { p ∈ Supp R X | cd( Z , R/ p ) − inf X p = dim R X } . We also represent a generalization of Lichtenbaum-Hartshorne Vanishing Theorem for complexes of R -modules.