Kaehler-Einstein metrics on orbifolds and Einstein metrics on spheres
Differential Geometry
2007-05-23 v1 Algebraic Geometry
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 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.
Keywords
Cite
@article{arxiv.math/0507289,
title = {Kaehler-Einstein metrics on orbifolds and Einstein metrics on spheres},
author = {Alessandro Ghigi and János Kollár},
journal= {arXiv preprint arXiv:math/0507289},
year = {2007}
}