An Avoidance Principle with an Application to the Asymptotic Behaviour of Graded Local Cohomology
Commutative Algebra
2013-02-11 v2
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.
Keywords
Cite
@article{arxiv.math/0611022,
title = {An Avoidance Principle with an Application to the Asymptotic Behaviour of Graded Local Cohomology},
author = {M. Brodmann and S. Kurmann and F. Rohrer},
journal= {arXiv preprint arXiv:math/0611022},
year = {2013}
}
Comments
6 pages; to appear in Journal of Pure and Applied Algebra; corrected typos