Singularities of Cox rings of Fano varieties

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 2013
Externally publishedYes

Fingerprint

Fano Variety
Gorenstein
Complex number
Singularity
Ring

Keywords

  • Cox rings
  • Fano varieties
  • Log terminal singularities

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

Cite this

Singularities of Cox rings of Fano varieties. / Brown, Morgan.

In: Journal des Mathematiques Pures et Appliquees, Vol. 99, No. 6, 06.2013, p. 655-667.

Research output: Contribution to journalArticle

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