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Paper detail

Existence and compactness theory for ALE scalar-flat Kähler surfaces

Our main result in this article is a compactness result which states that a noncollapsed sequence of asymptotically locally Euclidean (ALE) scalar-flat Kähler metrics on a minimal Kähler surface whose Kähler classes stay in a compact subset of the interior of the Kähler cone must have a convergent subsequence. As an application, we prove the existence of global moduli spaces of scalar-flat Kähler ALE metrics for several infinite families of Kähler ALE spaces.

preprint2019arXivOpen access
Jiyuan HanJeff A. Viaclovsky
math.AGmath.DG
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Jiyuan HanJeff A. Viaclovsky

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