ALE Ricci-flat Kahler surfaces and weighted projective spaces

作者：Rasdeaconu R; Suvaina I^*

来源：Annals of Global Analysis and Geometry, 2015, 47(2): 117-134.

DOI：10.1007/s10455-014-9438-9

• ALE Ricci-flat Kahler surfaces
• Gibbons-Hawking metrics
• Hitchin metrics
• Tian-Yau metrics
• Q-Gorenstein deformations
• Log del Pezzo surfaces

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 -Gorenstein deformations of quotient surface singularities as log del Pezzo surfaces with only cyclic quotient singularities at infinity.

• 出版日期2015-2