On the Coefficients of Hilbert Quasipolynomials

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

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).

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