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arXiv · 1404.6870

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

Shoetsu Ogata·Huai-Liang Zhao
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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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Shoetsu Ogata, Huai-Liang Zhao. 2014-04-28. A characterization of Gorenstein toric Fano $n$-folds with index $n$ and Fujita's conjecture. https://arxiv.org/abs/1404.6870

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