A characterization of Gorenstein toric Fano n-folds with index n and Fujita's conjecture

2014/04/28 by Shōetsu Ogata, Shoetsu Ogata, Ogata, Shoetsu +2
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO

paper · pdf · doi:10.48550/arxiv.1404.6870

18 pages

arxiv created 2014/04/28 · openalex publication_date 2014/04/28 · arxiv updated 2014/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give a characterization of Gorenstein toric Fano varieties of dimension n with index n among toric varieties. As an application, we give a strong version of Fujita's freeness conjecture and also give a simple proof of Fujita's very ampleness conjecture on Gorenstein toric varieties.

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