@article{13bac76c5d1a4cc5afaaf77f5f742b14,
title = "K-stability of Fano varieties: An algebro-geometric approach",
abstract = "We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach. ",
keywords = "Fano varieties, K-moduli, K-stability",
author = "Chenyang Xu",
note = "Funding Information: Funding. C.X. is partially supported by a Chern Professorship of the MSRI (NSF No. DMS-1440140) and by the National Science Fund for Distinguished Young Scholars (NSFC 11425101) {\textquoteleft}Algebraic Geometry{\textquoteright} (2015-2018), NSF DMS-1901849 and DMS-1952531(2019-now). Publisher Copyright: {\textcopyright} 2021 European Mathematical Society.",
year = "2021",
doi = "10.4171/EMSS/51",
language = "English (US)",
volume = "8",
pages = "265--354",
journal = "EMS Surveys in Mathematical Sciences",
issn = "2308-2151",
publisher = "European Mathematical Society Publishing House",
number = "1",
}