63 citations · 275 across the 28 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.AG2020★ 14 cited
Uniqueness of the minimizer of the normalized volume function
Chenyang Xu, Ziquan Zhuang
We confirm a conjecture of Chi Li which says that the minimizer of the normalized volume function for a klt singularity is unique up to rescaling. This is achieved by defining stab…
math.AG2020★ 63 cited
Optimal destabilizing centers and equivariant K-stability
Ziquan Zhuang
We give an algebraic proof of the equivalence of equivariant K-semistability (resp. equivariant K-polystability) with geometric K-semistability (resp. geometric K-polystability). A…
math.AG2020★ 3 cited
K-stability of Fano varieties via admissible flags
Hamid Abban, Ziquan Zhuang
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) prove the existence of Kähler-Einstein metrics on all smooth Fano hypersurfaces…