Resumen de Käler-Einstein metrics on orbifolds and Einstein metrics on spheres

Alessandro Ghigi, János Kollár

• A construction of Kähler¿Einstein metrics using Galois coverings, studied by Arezzo¿Ghigi¿Pirola, is generalized to orbifolds. By applying it to certain orbifold covers of CPn which are trivial set theoretically, one obtains new Einstein metrics on odd-dimensional spheres. The method also gives Kähler¿Einstein metrics on degree 2 Del Pezzo surfaces with A1- or A2-singularities.