Abstract
There are many known examples of scalar-flat
Kähler ALE surfaces, all of which have
group at infinity either cyclic or contained in
This article is dedicated to the memory of Egbert Brieskorn.
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-1405725
Funding statement: The first author was partially supported by NSF Grant DMS-1148490. The second author was partially supported by NSF Grant DMS-1405725.
Acknowledgements
The authors would like to thank Nobuhiro Honda and Claude LeBrun for many enlightening discussions on scalar-flat Kähler metrics. We would also like to thank Claudio Arezzo, David Calderbank, and Michael Singer for many helpful comments. Also, discussions with Akira Fujiki, Ryushi Goto, and Hans-Joachim Hein on deformations of complex structure were very helpful. Finally, thanks are given to the anonymous referees for numerous suggestions to improve the exposition of the paper.
References
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