Delta Invariants of Singular del Pezzo Surfaces

Abstract

© The Author(s) 2020. We use the methods introduced by Cheltsov-Rubinstein-Zhang (Sel Math (N.S.) 25(2):25-34, 2019) to estimate delta-invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov-Park-Shramov (J Geom Anal 20(4):787-816, 2010) that have a-invariants less than 2/3. As a result, we verify that each of these surfaces admits an orbifold Kahler-Einstein metric