Publication: An avoidance principle with an application to the asymptotic behaviour of graded local cohomology
An avoidance principle with an application to the asymptotic behaviour of graded local cohomology
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Brodmann, M., Kurmann, S., & Rohrer, F. (2007). An avoidance principle with an application to the asymptotic behaviour of graded local cohomology. Journal of Pure and Applied Algebra, 210, 639–643. https://doi.org/10.1016/j.jpaa.2006.11.002
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We present an avoidance principle for certain graded rings. As an application we fill a gap in the proof of a result of 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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Brodmann, M., Kurmann, S., & Rohrer, F. (2007). An avoidance principle with an application to the asymptotic behaviour of graded local cohomology. Journal of Pure and Applied Algebra, 210, 639–643. https://doi.org/10.1016/j.jpaa.2006.11.002