Mathematics – Commutative Algebra
Scientific paper
2005-12-14
Mathematics
Commutative Algebra
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).
Bruns Winfried
Ichim Bogdan
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