37 citations · 362 across the 39 of their papers we have counts for
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math.AG2017★ 2 cited
On the semi-continuity problem of normalized volumes of singularities
Yuchen Liu
We show that in any -Gorenstein flat family of klt singularities, normalized volumes can only jump down at countably many subvarieties. A quick consequence is that smoo…
math.AG2017★ 34 cited
K-stability of cubic threefolds
Yuchen Liu, Chenyang Xu
We prove the K-moduli space of cubic threefolds is identical to their GIT moduli. More precisely, the K-(semi,poly)-stability of cubic threefolds coincide to the corresponding GIT…
math.AG2017
Construction of hyperbolic Horikawa surfaces
Yuchen Liu
We construct a Brody hyperbolic Horikawa surface that is a double cover of branched along a smooth curve of degree . We also construct Brody hyperbolic double co…