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math.DG2025
Variation of Kahler-Einstein metrics with mixed singularities
Xin Fu, Jiyuan Han, Yongpan Zou
In this short note, we consider a fiberation f: (X, Delta) to Y between two compact Kahler manifolds with generic fiber of f being a smooth log canonical pair with ample canonical…
math.DG2025
-uniform weighted K-stability for models on klt varieties
Jiyuan Han, Yaxiong Liu
In this paper, we make a generalization of the results in \cite{Li22a} to the singular and weighted setting. In particular, we show that on a polarized projective klt variety, the…
math.DG2024
On the Existence of Weighted-cscK Metrics
Jiyuan Han, Yaxiong Liu
In this paper, we prove that on a smooth Kähler manifold, the -coercivity of the weighted Mabuchi functional implies the existence of the (v, w)-weighted-cscK (extremal…