On the coefficients of Hilbert quasipolynomials-Reference-Cited by-同舟云学术

On the coefficients of Hilbert quasipolynomials

Published:2006-11-15 Issue:5 Volume:135 Page:1305-1308
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bruns Winfried,Ichim Bogdan

Abstract

The Hilbert function of a module over a positively graded algebra is of quasi-polynomial type (Hilbert–Serre). We derive an upper bound for its grade, i.e. the index from which on its coefficients are constant. As an application, we give a purely algebraic proof of an old combinatorial result (due to Ehrhart, McMullen and Stanley).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-05/S0002-9939-06-08834-4/S0002-9939-06-08834-4.pdf

Reference4 articles.

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4. Decompositions of rational convex polytopes;Stanley, Richard P.;Ann. Discrete Math.,1980

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