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math.DG2026
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
Orbifold Bogomolov-Gieseker inequalities on compact Kähler varieties
Xin Fu, Wenhao Ou
In a previous paper, the orbifold Bogomolov-Gieseker inequality is proved for a stable reflexive sheaf on a compact Kähler variety with klt singularities. In this paper, we give a…
math.DG2025
A continuous cusp closing process for negative Kähler-Einstein metrics
Xin Fu, Hans-Joachim Hein, Xumin Jiang
We give an example of a family of smooth complex algebraic surfaces of degree in developing an isolated elliptic singularity. We show via a gluing construction…