Unstable polarized del Pezzo surfaces

Ivan Cheltsov, Jesus Martinez-Garcia

Research output: Contribution to journalArticlepeer-review

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 Kahler metrics on polarized smooth del Pezzo surfaces.
Original languageEnglish
Number of pages42
JournalTransactions of the American Mathematical Society
Early online date5 Aug 2019
DOIs
Publication statusE-pub ahead of print - 5 Aug 2019

Keywords

  • math.AG
  • 14J45, 14J26, 32Q15, 32Q26

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