2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227471In this paper we study the problem of existence of orbifold Kaehler-Einstein metrics on del Pezzo surfaces of degree 1 with Du Val singular points. Moreover we compute global log canonical thresholds of del Pezzo surfaces of degree 1 with Du Val singularities and of del Pezzo surfaces of Picard rank 1 with Du Val singularities.116 pages, Preliminary version of PhD thesis, Corrections Sect.3.2, Sect.4Algebraic GeometryDifferential Geometry14J45, 32Q20, 14J26text