Polytopal affine semigroups with holes deep inside
classification
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keywords
affineeverylatticeaboveassociatedconstructdeepdistance
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Given a non-negative integer k, we construct a lattice 3-simplex P with the following property: The affine semigroup Q_P associated to P is not normal, and every element $q \in \sat{Q}_P \setminus Q_P$ has lattice distance at least k above every facet of Q_P.
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