Unstable polarized del Pezzo surfaces

Cheltsov, Ivan; Martinez-Garcia, Jesus

doi:10.1090/tran/7900

Unstable polarized del Pezzo surfaces
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by Ivan Cheltsov and Jesus Martinez-Garcia PDF

Trans. Amer. Math. Soc. 372 (2019), 7255-7296 Request permission

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.

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