Singularities of Cox rings of Fano varieties

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We show that the Cox ring of a smooth complete Fano variety over the complex numbers has Gorenstein canonical singularities.

Original languageEnglish (US)
Pages (from-to)655-667
Number of pages13
JournalJournal des Mathematiques Pures et Appliquees
Volume99
Issue number6
DOIs
StatePublished - Jun 1 2013
Externally publishedYes

Keywords

  • Cox rings
  • Fano varieties
  • Log terminal singularities

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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