HilbertSamuel coefficients and postulation numbers of graded components of certain local cohomology modules
Authors:
M. Brodmann and F. Rohrer
Journal:
Proc. Amer. Math. Soc. 133 (2005), 987993
MSC (2000):
Primary 13D45, 13E10
Published electronically:
November 19, 2004
MathSciNet review:
2117198
Fulltext PDF Free Access
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Abstract: Let be a Noetherian homogeneous 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 . We show that the first HilbertSamuel coefficient of the th graded component of with respect to is antipolynomial of degree in . In addition, we prove that the postulation numbers of the components with respect to have a common upper bound.
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Additional Information
M. Brodmann
Affiliation:
Institute of Mathematics, University of Zürich, Winterthurerstrasse 190, CH8057 Zürich, Switzerland
Email:
brodmann@math.unizh.ch
F. Rohrer
Affiliation:
Institute of Mathematics, University of Zürich, Winterthurerstrasse 190, CH8057 Zürich, Switzerland
Email:
fred@math.unizh.ch
DOI:
http://dx.doi.org/10.1090/S0002993904077792
PII:
S 00029939(04)077792
Keywords:
Local cohomology modules,
graded components,
HilbertSamuel polynomials
Received by editor(s):
December 1, 2003
Published electronically:
November 19, 2004
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2004 American Mathematical Society
