2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75784A construction of Kaehler-Einstein metrics using Galois coverings, studied by Arezzo-Ghigi-Pirola, is generalized to orbifolds. By applying it to certain orbifold covers of P^n which are trivial set theoretically, one obtains new Einstein metrics on odd-dimensional spheres. The method also gives Kaehler-Einstein metrics on degree 2 Del Pezzo surfaces with A_1 or A_2-singularities.Differential GeometryAlgebraic GeometryKaehler-Einstein metrics on orbifolds and Einstein metrics on spherestext