Unstable polarized del Pezzo surfaces

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.

102 pages, from which 64 pages are an appendix with symbolic computations. To appear in Trans. Amer. Math. Soc

References in corpus (2)

• Tian's properness conjectures and Finsler geometry of the space of Kahler metrics
• Cylinders in del Pezzo surfaces