Singular K\"ahler-Einstein metrics and RCD spaces
Differential Geometry
2024-12-13 v2
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.
Keywords
Cite
@article{arxiv.2408.10747,
title = {Singular K\"ahler-Einstein metrics and RCD spaces},
author = {Gábor Székelyhidi},
journal= {arXiv preprint arXiv:2408.10747},
year = {2024}
}
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35 pages