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.
ASJC Scopus subject areas
- 数学 (全般)