2014/10/30 by Shoetsu Ogata, Ogata, Shoetsu, Huai-Liang Zhao +1
Mathematics · #14J45 #14M25 #52B20 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:14J45 #msc:14M25 #msc:52B20
paper · pdf · doi:10.48550/arxiv.1410.8272
10 pages
arxiv created 2014/10/30 · arxiv updated 2014/10/31
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.