Log canonical thresholds of certain Fano hypersurfaces

Ivan Cheltsov, Jihun Park, Joonyeong Won

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We study log canonical thresholds on quartic threefolds, quintic fourfolds, and double spaces. As an important application, we show that they have Kähler-Einstein metrics if they are general.

Original languageEnglish
Pages (from-to)51-79
Number of pages29
JournalMathematische Zeitschrift
Volume276
Issue number1-2
DOIs
StatePublished - Feb 2014

Keywords

  • Anticanonical linear system
  • Fano variety
  • Kähler-Einstein metric
  • Log canonical threshold

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