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Singular Kähler-Einstein metrics and RCD spaces

Published 20 Aug 2024 in math.DG | (2408.10747v2)

Abstract: We study K\"ahler-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 non-collapsed RCD space, and is homeomorphic to the original variety.

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Authors (1)

  1. Gábor Székelyhidi 

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