The maximal degree of monomials belonging to the unique minimal system of monomial generators of the canonical module ω (K[P]) of the toric ring K[P] defined by a lattice polytope P will be studied. It is shown that if P possesses an interior lattice point, then the maximal degree is at most P - 1, and that this bound is the best possible in general.
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Bruns et al. (2024) studied this question.
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