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

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 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

Access to Document

10.1007/s13366-011-0077-z

Fingerprint Dive into the research topics of 'Very ample but not normal lattice polytopes'. Together they form a unique fingerprint.

Cite this

@article{3ea428cc61954872b294b5d7046f8504,

title = "Very ample but not normal lattice polytopes",

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.",

keywords = "Projectively normal, Toric varieties",

author = "Shoetsu Ogata",

year = "2013",

month = mar,

doi = "10.1007/s13366-011-0077-z",

language = "English",

volume = "54",

pages = "291--302",

journal = "Beitrage zur Algebra und Geometrie",

issn = "0138-4821",

publisher = "Springer Berlin",

number = "1",

}

TY - JOUR

T1 - Very ample but not normal lattice polytopes

AU - Ogata, Shoetsu

PY - 2013/3

Y1 - 2013/3

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84874570215&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874570215&partnerID=8YFLogxK

U2 - 10.1007/s13366-011-0077-z

DO - 10.1007/s13366-011-0077-z

M3 - Article

AN - SCOPUS:84874570215

VL - 54

SP - 291

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

Access to Document

Other files and links

Cite this