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arXiv · 1210.4357

Polytopal affine semigroups with holes deep inside

Lukas Katthän
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Abstract

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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Lukas Katthän. 2013-03-20. Polytopal affine semigroups with holes deep inside. https://arxiv.org/abs/1210.4357

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