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math.DG2026
Positive scalar curvature Kähler metrics and shifted -stability
Zehao Sha
In this paper, we show that the quantitative data underlying -stability, originally developed in the study of canonical metrics, also detect the existence of positive scalar cur…
math.DG2025
Rigidity of complete Kähler-Einstein metrics under cscK perturbations
Zehao Sha
In this paper, we study constant scalar curvature Kähler (cscK) metrics on complete non-compact Kähler--Einstein manifolds. We give sufficient conditions under which a cscK perturb…