An avoidance principle with an application to the asymptotic behaviour of graded local cohomology |
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Authors: | M. Brodmann S. Kurmann F. Rohrer |
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Affiliation: | aInstitute of Mathematics, University of Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland |
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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 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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Keywords: | Primary, 13D45 secondary, 13D40, 13F30 |
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