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arXiv · 1301.4727

ALE Ricci-flat Kahler surfaces and weighted projective spaces

Rares Rasdeaconu·Ioana Suvaina
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Abstract

We show that the explicit ALE Ricci-flat Kahler metrics constructed by Eguchi-Hanson, Gibbons-Hawking, Hitchin and Kronheimer, and their free quotients are metrics obtained by Tian-Yau techniques. The proof relies on a construction of good compactifications of Q-Gorenstein deformations of quotient surface singularities as log del Pezzo surfaces with only cyclic quotient singularities at infinity.

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Rares Rasdeaconu, Ioana Suvaina. 2014-08-12. ALE Ricci-flat Kahler surfaces and weighted projective spaces. https://arxiv.org/abs/1301.4727

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