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PSC Kähler cones of minimal Kähler surfaces and a birational obstruction

Sha, Zehao
arXiv (All) · Papers
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differential-geometry
We characterize the positive scalar curvature Kähler cone of every minimal compact Kähler surface with Kodaira dimension $-\infty$. By the Enriques--Kodaira classification, every such surface is either $\mathbb{P}^2$ or a geometrically ruled surface $\mathbb{P}(E)\toΣ_g$, where $E$ is a rank-two hol
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