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Singular Kähler-Einstein metrics and RCD spaces
Gabor Szekelyhidi
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Source: Crossref
Published: Jan 1, 2025
DOI: 10.1017/fmp.2025.10015
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Abstract We study Kähler-Einstein metrics on singular projective varieties. We show that under an approximation property with constant scalar curvature metrics, the metric completion of the smooth part is a noncollapsed RCD space, and is homeomorphic to the original variety.
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