An Avoidance Principle with an Application to the Asymptotic Behaviour of Graded Local Cohomology

M. Brodmann; S. Kurmann; F. Rohrer

doi:10.1016/j.jpaa.2006.11.002

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An Avoidance Principle with an Application to the Asymptotic Behaviour of Graded Local Cohomology

M. Brodmann·S. Kurmann·F. Rohrer

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Abstract

We present an Avoidance Principle for certain graded rings. As an application we fill a gap in the proof of a result by Brodmann, Rohrer and Sazeedeh about the antipolynomiality of the Hilbert-Samuel multiplicity of the graded components of the local cohomology modules of a finitely generated module over a Noetherian homogeneous ring with two-dimensional local base ring.

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M. Brodmann, S. Kurmann, F. Rohrer. 2006-11-01. An Avoidance Principle with an Application to the Asymptotic Behaviour of Graded Local Cohomology. https://doi.org/10.1016/j.jpaa.2006.11.002

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