A 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 the complex projective space 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.
Ghigi, A., Kollar, J. (2007). Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres. COMMENTARII MATHEMATICI HELVETICI, 82(4), 877-902 [10.4171/CMH/113].
Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres
GHIGI, ALESSANDRO CALLISTO;
2007
Abstract
A 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 the complex projective space 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.File in questo prodotto:
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