arXiv subjects

Huai-Liang Zhao

Publications and source records attributed to Huai-Liang Zhao.

2 recordsLinked to original sources

arXiv2014

A characterization of Gorenstein toric Del Pezzo $n$-folds

We give a characterizaion of Gorenstein toric Fano $n$-folds 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 Batyrev-Juny's classification of Gorenstein Fano polytopes.

math.AG↗

arXiv2014

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

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.

math.AG↗