Permanent URL to this publication: http://dx.doi.org/10.5167/uzh21680
Brodmann, M; Rohrer, F (2005). HilbertSamuel coefficients and postulation numbers of graded components of certain local cohomology modules. Proceedings of the American Mathematical Society, 133(4):987993 (electronic).

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Abstract
Let be a positively graded commutative Noetherian ring with onedimensional 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 socalled first HilbertSamuel coefficient of with respect to . "(b)" There is some such that for all , where is the postulation number of the module with respect to .
Item Type:  Journal Article, refereed, original work 

Communities & Collections:  07 Faculty of Science > Institute of Mathematics 
DDC:  510 Mathematics 
Uncontrolled Keywords:  Local cohomology modules, graded components, HilbertSamuel polynomials 
Language:  English 
Date:  2005 
Deposited On:  03 Feb 2010 08:42 
Last Modified:  09 Jan 2014 09:59 
Publisher:  American Mathematical Society 
ISSN:  00029939 
Additional Information:  First published in [Proc. Amer. Math. Soc. 133 (2005), no. 4, 987993 (electronic)], published by the American Mathematical Society 
Publisher DOI:  10.1090/S0002993904077792 
Related URLs:  http://www.ams.org/mathscinetgetitem?mr=2117198 
Citations:  Web of Science®. Times Cited: 1 Google Scholar™ Scopus®. Citation Count: 1 
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