Geodesic
EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES
Forum of Mathematics, Sigma, Tome 8 (2020)

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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. 
@article{10_1017_fms_2019_42,
     author = {JIYUAN HAN and JEFF A. VIACLOVSKY},
     title = {EXISTENCE {AND} {COMPACTNESS} {THEORY} {FOR} {ALE} {SCALAR-FLAT} {K\"AHLER} {SURFACES}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {8},
     year = {2020},
     doi = {10.1017/fms.2019.42},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.42/}
}
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JIYUAN HAN; JEFF A. VIACLOVSKY. EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2019.42

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