Stable polarized del Pezzo surfaces

Jesus Martinez-Garcia, Ivan Cheltsov

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Abstract

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
Number of pages39
JournalInternational Mathematics Research Notices
Early online date26 Jul 2018
DOIs
Publication statusE-pub ahead of print - 26 Jul 2018

Keywords

  • 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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