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math.DG2025
Compact Kähler manifolds with partially semi-positive curvature
Shiyu Zhang, Xi Zhang
In this paper, we study MRC fibrations of compact Kähler manifolds with partially semi-positive curvature. We first prove that a compact Kähler manifold is rationally connected if…
math.DG2025
The Miyaoka-Yau inequality for minimal Kähler klt spaces
Chuanjing Zhang, Shiyu Zhang, Xi Zhang
Let be a compact Kähler space with quotient singularities in codimension . In terms of orbifold Chern classes, we prove a generalized Bogomolov-Gieseker inequality for a ref…