Existence of conical higher cscK metrics is proven in every Kähler class on pseudo-Hirzebruch surfaces via momentum construction, with polyhomogeneous regularity and a conjectural cone-angle relation from the top log Bando-Futaki invariant.
Donaldson.K¨ ahler Metrics with Cone Singularities along a Divisor
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Existence of Conical Higher cscK Metrics on a Minimal Ruled Surface
Existence of conical higher cscK metrics is proven in every Kähler class on pseudo-Hirzebruch surfaces via momentum construction, with polyhomogeneous regularity and a conjectural cone-angle relation from the top log Bando-Futaki invariant.