4 papers
Non-abelian Hodge correspondence over singular Kähler spaces
Chuanjing Zhang, Shiyu Zhang, Xi Zhang
In this paper, we establish the non-abelian Hodge correspondence over compact Kähler spaces with Kawamata log terminal (klt) singularities as well as over their regular loci, ther…
Long-time behavior of the Hermitian-Yang-Mills flow on non-Kähler manifolds
Zeng Chen, Chao Li, Chuanjing Zhang +1
In this paper, we study the long-time behavior of the Hermitian-Yang-Mills flow over compact Hermitian manifolds. We obtain the monotonicity of lower bound and upper bound of the e…
The Miyaoka-Yau inequality for minimal Kähler klt spaces
Chuanjing Zhang, Shiyu Zhang, Xi Zhang
In this paper, we obtain the generalized Bogomolov inequality for reflexive Higgs sheaves defined on the regular locus of compact Kähler klt spaces. As an application, we establis…
Mean curvature positivity and rational connectedness
Chao Li, Chuanjing Zhang, Xi Zhang
In this paper, we use Uhlenbeck-Yau's continuity method to establish the correspondence between the mean curvature positivity and the HN-positivity on holomorphic vector bundles ov…