English

Polytopal affine semigroups with holes deep inside

Combinatorics 2015-06-09 v2

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\satQPQPq \in \sat{Q}_P \setminus Q_P has lattice distance at least k above every facet of Q_P.

Keywords

Cite

@article{arxiv.1210.4357,
  title  = {Polytopal affine semigroups with holes deep inside},
  author = {Lukas Katthän},
  journal= {arXiv preprint arXiv:1210.4357},
  year   = {2015}
}

Comments

6 pages, minor revision

R2 v1 2026-06-21T22:22:31.919Z