Algebro-geometric characterization of Cayley polytopes

Atsushi Ito

doi:10.1016/j.aim.2014.11.010

Algebro-geometric characterization of Cayley polytopes

Atsushi Ito

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

11 Citations (Scopus)

Abstract

In this paper, we give an algebro-geometric characterization of Cayley polytopes. As a special case, we also characterize lattice polytopes with lattice width one by using Seshadri constants.

Original language	English
Pages (from-to)	598-608
Number of pages	11
Journal	Advances in Mathematics
Volume	270
DOIs	https://doi.org/10.1016/j.aim.2014.11.010
Publication status	Published - Jan 2 2015
Externally published	Yes

Keywords

Cayley polytope
Dual defect
Seshadri constant
Toric variety

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2014.11.010

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title = "Algebro-geometric characterization of Cayley polytopes",

abstract = "In this paper, we give an algebro-geometric characterization of Cayley polytopes. As a special case, we also characterize lattice polytopes with lattice width one by using Seshadri constants.",

keywords = "Cayley polytope, Dual defect, Seshadri constant, Toric variety",

author = "Atsushi Ito",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

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doi = "10.1016/j.aim.2014.11.010",

language = "English",

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AU - Ito, Atsushi

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N2 - In this paper, we give an algebro-geometric characterization of Cayley polytopes. As a special case, we also characterize lattice polytopes with lattice width one by using Seshadri constants.

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KW - Dual defect

KW - Seshadri constant

KW - Toric variety

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SP - 598

EP - 608

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Algebro-geometric characterization of Cayley polytopes

Abstract

Keywords

ASJC Scopus subject areas

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