37 citations · 362 across the 39 of their papers we have counts for
4 papers · 1 filter
Openness of uniform K-stability in families of -Fano varieties
Harold Blum, Yuchen Liu
We show that uniform K-stability is a Zariski open condition in Q-Gorenstein families of Q-Fano varieties. To prove this result, we consider the behavior of the stability threshold…
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.
Birational superrigidity and K-stability of singular Fano complete intersections
Yuchen Liu, Ziquan Zhuang
We introduce an inductive argument for proving birational superrigidity and K-stability of singular Fano complete intersections of index one, using the same types of information fr…
The normalized volume of a singularity is lower semicontinuous
Harold Blum, Yuchen Liu
We show that in any -Gorenstein flat family of klt singularities, normalized volumes are lower semicontinuous with respect to the Zariski topology. A quick consequence…