Weighted cscK metric (I): a priori estimates

2024/07/13 by Eleonora Di Nezza, Di Nezza, Eleonora, Simon Jubert +3 · 1 citation
Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Statistical Methods in Clinical Trials

paper · pdf · doi:10.48550/arxiv.2407.09929

openalex publication_date 2024/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a compact Kähler manifold. In this paper we study the existence of constant weighted scalar curvature Kähler (weighted cscK) metrics on X. More precisely, we establish a priori C^k-estimates (k≥ 0) for the Kähler potential associated with these metrics, thereby extending a result due to Chen and Cheng in the classical cscK setting.

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