On the Coefficients of Hilbert Quasipolynomials
Commutative Algebra
2007-05-23 v1 Combinatorics
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).
Keywords
Cite
@article{arxiv.math/0512329,
title = {On the Coefficients of Hilbert Quasipolynomials},
author = {Winfried Bruns and Bogdan Ichim},
journal= {arXiv preprint arXiv:math/0512329},
year = {2007}
}