37 citations · 362 across the 39 of their papers we have counts for
6 papers · 1 filter
Wall crossing for K-moduli spaces of plane curves
Kenneth Ascher, Kristin DeVleming, Yuchen Liu
We construct proper good moduli spaces parametrizing K-polystable -Gorenstein smoothable log Fano pairs , where is a Fano variety and is a rational mul…
On the Cheltsov--Rubinstein conjecture
Kento Fujita, Yuchen Liu, Hendrik Süß +2
In this note we investigate the Cheltsov--Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.
Stability conditions on product varieties
Yucheng Liu
Given a stability condition on a smooth projective variety , we construct a family of stability conditions on , where is a smooth projective curve. In particular,…
Optimal destabilization of K-unstable Fano varieties via stability thresholds
Harold Blum, Yuchen Liu, Chuyu Zhou
We show that for a K-unstable Fano variety, any divisorial valuation computing its stability threshold induces a non-trivial special test configuration preserving the stability thr…
Openness of K-semistability for Fano varieties
Harold Blum, Yuchen Liu, Chenyang Xu
In this paper, we prove the openness of K-semistability in families of log Fano pairs by showing that the stability threshold is a constructible function on the fibers. We also pro…
On the sharpness of Tian's criterion for K-stability
Yuchen Liu, Ziquan Zhuang
Tian's criterion for K-stability states that a Fano variety of dimension whose alpha invariant is greater than is K-stable. We show that this criterion is sharp…