Polytopal Affine Semigroups with Holes Deep Inside |
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| Authors: | Lukas Katthän |
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| Institution: | 1. Fachbereich Mathematik und Informatik, Philipps-Universit?t Marburg, Marburg, Germany
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| Abstract: | Given a positive integer $k$ k , we construct a lattice $3$ 3 -simplex $P$ P with the following property: The affine semigroup $Q_P$ Q P associated to $P$ P is not normal, and every element $q \in \overline{Q}_P \setminus Q_P$ q ∈ Q ¯ P ? Q P has lattice distance at least $k$ k above every facet of $Q_P$ Q P . |
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