Weighted cscK metrics on Kähler varieties
Résumé
We study the weighted constant scalar curvature Kähler equations on mildly singular Kähler varieties. Under an assumption on the existence of certain resolution of singularities, we prove the existence of singular weighted constant scalar curvature Kähler metrics when the weighted Mabuchi functional is coercive. This extends the work of Chen and Cheng to the singular weighted setting.
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