Käler-Einstein metrics on orbifolds and Einstein metrics on spheres

• Autores: Alessandro Ghigi, János Kollár
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 82, Nº 4, 2007, págs. 877-902
• Idioma: inglés
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• Resumen

  • 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.