Very ample but not normal lattice polytopes

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4 Citations (Scopus)

Abstract

We construct examples of very ample lattice polytopes of dimension n ≥ 3 such that their (n-2)-folds are not normal. We also obtain criteria of normality and non-normality for 3-dimensional lattice polytopes with width one which are the Minkowski sums of lattice 3-simplices and line segments.

Original languageEnglish
Pages (from-to)291-302
Number of pages12
JournalBeitrage zur Algebra und Geometrie
Volume54
Issue number1
DOIs
Publication statusPublished - 2013 Mar

Keywords

  • Projectively normal
  • Toric varieties

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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