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arXiv · 2408.10747

Singular K\"ahler-Einstein metrics and RCD spaces

Gábor Székelyhidi
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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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Gábor Székelyhidi. 2024-08-20. Singular K\"ahler-Einstein metrics and RCD spaces. https://arxiv.org/abs/2408.10747

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