Existence and compactness theory for ALE scalar-flat K\'ahler surfaces
| Autor: | Han, Jiyuan, Viaclovsky, Jeff A. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Forum of Mathematics, Sigma 8 (2020) e1 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/fms.2019.42 |
| Popis: | Our main result in this article is a compactness result which states that a noncollapsed sequence of asymptotically locally Euclidean (ALE) scalar-flat K\"ahler metrics on a minimal K\"ahler surface whose K\"ahler classes stay in a compact subset of the interior of the K\"ahler cone must have a convergent subsequence. As an application, we prove the existence of global moduli spaces of scalar-flat K\"ahler ALE metrics for several infinite families of K\"ahler ALE spaces. Comment: 50 pages |
| Databáze: | arXiv |
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