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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21680

# Brodmann, M; Rohrer, F (2005). Hilbert-Samuel coefficients and postulation numbers of graded components of certain local cohomology modules. Proceedings of the American Mathematical Society, 133(4):987-993 (electronic).

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## Abstract

Let be a positively graded commutative Noetherian ring with one-dimensional local base ring . Let be an -primary ideal. Let be a finitely generated graded -module and let . Let denote the -th local cohomology module of with respect to the irrelevant ideal of . The main results in this paper are: "(a)" Assume that for all . Then there is a polynomial of degree such that for all , e_1(_0,H^i_(M)_n)=S(n), where is the so-called first Hilbert-Samuel coefficient of with respect to . "(b)" There is some such that for all , where is the postulation number of the -module with respect to .

## Citations

1 citation in Web of Science®
1 citation in Scopus®