An Avoidance Principle with an Application to the Asymptotic Behaviour of Graded Local Cohomology
M. Brodmann, S. Kurmann, F. Rohrer
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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