Stable polarized del Pezzo surfaces

Ivan Cheltsov, Jesus Martinez-Garcia

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We give a simple sufficient condition for K-stability of polarized del Pezzo surfaces and for the existence of a constant scalar curvature Kahler metric in the Kahler class corresponding to the polarization.
Original languageEnglish
Article numberrny182
Pages (from-to)5477–5505
Number of pages39
JournalInternational Mathematics Research Notices
Issue number18
Early online date26 Jul 2018
Publication statusPublished - 30 Sept 2020


  • K-stability,
  • constant scalar curvature Kahler metric
  • alpha-invariant
  • del Pezzo surface.

ASJC Scopus subject areas

  • Geometry and Topology
  • Algebra and Number Theory


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