%0 Journal Article %A Chenyang Xu %T K-stability of Fano varieties: an algebro-geometric approach %J EMS surveys in mathematical sciences %D 2021 %P 265-354 %V 8 %U http://geodesic.mathdoc.fr/articles/10.4171/emss/51/ %R 10.4171/emss/51 %F 10_4171_emss_51