A characterization of Gorenstein toric Del Pezzo n-folds

Shoetsu Ogata, Huai Liang Zhao

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)1049-1064
Number of pages16
JournalFar East Journal of Mathematical Sciences
Volume96
Issue number8
DOIs
Publication statusPublished - 2015 Jan 1

Keywords

  • Fano varieties
  • Lattice polytopes
  • Toric varieties

ASJC Scopus subject areas

  • Mathematics(all)

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