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math.DG2024
Twisted Kähler-Einstein metrics in big classes
Tamás Darvas, Kewei Zhang
We prove existence of twisted Kähler-Einstein metrics in big cohomology classes, using a divisorial stability condition. In particular, when is big, we obtain a uniform Yau…
math.DG2024
Eguchi--Hanson metrics arising from Kahler--Einstein edge metrics
Yuxiang Ji, Yanir A. Rubinstein, Kewei Zhang
Calabi--Hirzebruch manifolds are higher-dimensional generalizations of both the football and Hirzebruch surfaces. We construct a family of Kahler--Einstein edge metrics singular al…