4 papers
Stable Degenerations of log Fano Fibration Germs
Jiyuan Han, Minghao Miao, Lu Qi +2
We prove the stable degeneration conjecture of log Fano fibration germs formulated by Sun-Zhang. Precisely, we introduce the -invariant for filtrations over a log Fano…
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…
-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…
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 (extrema…