arXiv subjects
Publications and source records attributed to Keshu Zhou.
We complete the classification of non-K\"ahler steady pluriclosed soliton on compact complex surfaces, as initiated by Streets. The underlying complex structure must be a Hopf surface, with any finite primary cover being of class 1. Moreover, the soliton metric is unique up to biholomorphism.
We show that the Gromov--Hausdorff convergence of non-collapsed polarized constant scalar curvature K\"ahler (cscK) surfaces can be realized as convergence in a Hilbert scheme. We also derive uniform estimates of Bergman kernels on the effective regular set. As an application, we establish the Zariski openness of cscK metrics for certain smooth polarized families, following the approach of Donaldson.