Unstable polarized del Pezzo surfaces
Algebraic Geometry
2020-10-02 v3
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.
Keywords
Cite
@article{arxiv.1707.06177,
title = {Unstable polarized del Pezzo surfaces},
author = {Ivan Cheltsov and Jesus Martinez-Garcia},
journal= {arXiv preprint arXiv:1707.06177},
year = {2020}
}
Comments
102 pages, from which 64 pages are an appendix with symbolic computations. To appear in Trans. Amer. Math. Soc