95 citations · 531 across the 39 of their papers we have counts for
Showing 2018 · math.AGShow all
3 papers · 2 filters
math.AG2018★ 22 cited
Uniqueness of K-polystable degenerations of Fano varieties
Harold Blum, Chenyang Xu
We prove that K-polystable degenerations of Q-Fano varieties are unique. Furthermore, we show that the moduli stack of K-stable Q-Fano varieties is separated. Together with [Jia17,…
math.AG2018★ 3 cited
A Guided Tour to Normalized Volume
Chi Li, Yuchen Liu, Chenyang Xu
This is a survey on the recent theory on minimizing the normalized volume function attached to any klt singularities.
math.AG2018★ 42 cited
Algebraicity of the Metric Tangent Cones and Equivariant K-stability
Chi Li, Xiaowei Wang, Chenyang Xu
We prove two new results on the K-polystability of Q-Fano varieties based on purely algebro-geometric arguments. The first one says that any K-semistable log Fano cone has a specia…