On the coefficients of Hilbert quasipolynomials
| Autor(en): | Bruns, Winfried Ichim, Bogdan |
Stichwörter: | Ehrhart quasi-polynomial; Hilbert quasi-polynomial; Mathematics; Mathematics, Applied | Erscheinungsdatum: | 2007 | Herausgeber: | AMER MATHEMATICAL SOC | Journal: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | Volumen: | 135 | Ausgabe: | 5 | Startseite: | 1305 | Seitenende: | 1308 | Zusammenfassung: | 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). |
ISSN: | 00029939 | DOI: | 10.1090/S0002-9939-06-08834-4 |
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