Kähler-Einstein metrics on symmetric Fano T-varieties

Hendrik Suess

Research output: Contribution to journalArticlepeer-review

Abstract

We relate the global log canonical threshold of a variety with torus action to the global log canonical threshold of its quotient. We apply this to certain Fano varieties and use Tian's criterion to prove the existence of Kahler-Einstein metrics on them. In particular, we obtain simple examples of Fano threefolds being Kahler-Einstein but admitting deformations without Kahler-Einstein metric.
Original languageEnglish
Pages (from-to)100-113
Number of pages13
JournalAdvances in Mathematics
Volume246
DOIs
Publication statusPublished - 20 Oct 2013

Keywords

  • torus action
  • Fano variety
  • Kahler-Einstein metric

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