A characterization of Gorenstein toric Del Pezzo n-folds

Shoetsu Ogata; Huai Liang Zhao

doi:10.17654/FJMSApr2015_1049_1064

A characterization of Gorenstein toric Del Pezzo n-folds

Shoetsu Ogata, Huai Liang Zhao

理学研究科・数学専攻

研究成果: Article › 査読

抄録

We give a characterization of Gorenstein toric Fano n-fold with index n −1, which is called Gorenstein toric Del Pezzo n-folds, among toric varieties. In practice, we obtain a condition for a lattice n-polytope to be a Gorenstein Fano polytope. In our proof we do not use the Batyrev-Juny’s classification of Gorenstein Del Pezzo n-polytopes.

本文言語	English
ページ（範囲）	1049-1064
ページ数	16
ジャーナル	Far East Journal of Mathematical Sciences
巻	96
号	8
DOI	https://doi.org/10.17654/FJMSApr2015_1049_1064
出版ステータス	Published - 2015

ASJC Scopus subject areas

数学 (全般)

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10.17654/FJMSApr2015_1049_1064

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AB - We give a characterization of Gorenstein toric Fano n-fold with index n −1, which is called Gorenstein toric Del Pezzo n-folds, among toric varieties. In practice, we obtain a condition for a lattice n-polytope to be a Gorenstein Fano polytope. In our proof we do not use the Batyrev-Juny’s classification of Gorenstein Del Pezzo n-polytopes.

KW - Fano varieties

KW - Lattice polytopes

KW - Toric varieties

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JO - Far East Journal of Mathematical Sciences

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A characterization of Gorenstein toric Del Pezzo n-folds

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