Very ample but not normal lattice polytopes

Shoetsu Ogata

doi:10.1007/s13366-011-0077-z

Very ample but not normal lattice polytopes

Shoetsu Ogata

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Pages (from-to)	291-302
Number of pages	12
Journal	Beitrage zur Algebra und Geometrie
Volume	54
Issue number	1
DOIs	https://doi.org/10.1007/s13366-011-0077-z
Publication status	Published - 2013 Mar

Keywords

Projectively normal
Toric varieties

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1007/s13366-011-0077-z

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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.",

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AB - 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.

KW - Projectively normal

KW - Toric varieties

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EP - 302

JO - Beitrage zur Algebra und Geometrie

JF - Beitrage zur Algebra und Geometrie

SN - 0138-4821

IS - 1

ER -

Very ample but not normal lattice polytopes

Abstract

Keywords

ASJC Scopus subject areas

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