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.
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Refined L^∞ lower (and conditional upper) bounds for Kähler-Einstein potentials on stable varieties near the non-klt locus via iterated logarithmic functions and explicit subsolutions/supersolutions to degenerate complex Monge-Ampère equations.
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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.
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$L^\infty$-estimates of K\"ahler-Einstein potentials on stable varieties
Refined L^∞ lower (and conditional upper) bounds for Kähler-Einstein potentials on stable varieties near the non-klt locus via iterated logarithmic functions and explicit subsolutions/supersolutions to degenerate complex Monge-Ampère equations.