Unstable polarized del Pezzo surfaces

Ivan Cheltsov, Jesus Martinez-Garcia

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Abstract

We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version first used by Cheltsov and Rubinstein of the test configurations introduced by Ross and Thomas. As an application, we provide new obstructions for the existence of constant scalar curvature Kähler metrics on polarized smooth del Pezzo surfaces.

Original languageEnglish
Pages (from-to)7255-7296
Number of pages42
JournalTransactions of the American Mathematical Society
Volume372
Issue number10
Early online date5 Aug 2019
DOIs
Publication statusPublished - 15 Nov 2019

Keywords

  • CscK metric
  • Del Pezzo surface
  • Flop
  • K-stability
  • Slope stability

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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