2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141098We apply Nadel's method of multiplier ideal sheaves to show that every complex del Pezzo surface of degree at most six whose automorphism group acts without fixed points has a Kähler-Einstein metric. In particular, all del Pezzo surfaces of degree $4,5$, or $6$ and certain special del Pezzo surfaces of lower degree are shown to have a Kähler-Einstein metric. This result is not new, but the proofs given in the present paper are less involved than earlier ones by Siu, Tian and Tian-Yau.15 pagesAlgebraic GeometryComplex VariablesDifferential Geometry14J26, 14J45, 32Q20text