复合体局部上同模的附加素数

Pub Date : 2023-03-01 DOI:10.1216/jca.2023.15.75

Nguyen Minh Tri

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引用次数: 0

摘要

．设(R, m)是一个局部环，Z是Spec R和X的专门化闭子集，是一个具有有限生成同调和有限维数的R -复形。我们证明了Att R H dim X Z (X) = {p∈Supp R X | cd(Z, R/ p)−inf X p = dim R X}。我们还对R -模复形的Lichtenbaum-Hartshorne消失定理进行了推广。

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ATTACHED PRIMES OF LOCAL COHOMOLOGY MODULES OF COMPLEXES

. 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.

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