@inbook{8574a11e76fe4c3f966593faee52a33b,
title = "Orbifold regularity of weak k{\"a}hler-einstein metrics",
abstract = "We show that weak K{\"a}hler-Einstein metrics on Q-Fano varieties are smooth orbifold metrics away from analytic subsets of complex codimension at least three. Our proof uses orbifold resolution of singularities.",
keywords = "Complex Monge-Amp{\`e}requations, Fano varieties, K{\"a}hler-Einstein metrics, Smooth orbifold metrics",
author = "Chi Li and Gang Tian",
note = "Funding Information: 2010 Mathematics Subject Classification. Primary 53C25, 53C55; Secondary 32W20, 14E15. Key words and phrases. K{\"a}hler-Einstein metrics, Fano varieties, complex Monge-Amp{\`e}re equations, smooth orbifold metrics. The first author was supported in part by NSF Grants DMS-1405936, DMS-1810867. The second author was supported in part by NSF Grants DMS-1309359,1607091 and NSFC Grant No.11331001. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",
year = "2019",
doi = "10.1090/conm/735/14825",
language = "English (US)",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "169--178",
booktitle = "Contemporary Mathematics",
address = "United States",
}