63 citations · 275 across the 28 of their papers we have counts for
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math.AG2022
Direct summands of klt singularities
Ziquan Zhuang
We show that direct summands (or more generally, pure images) of klt type singularities are of klt type. As a consequence, we give a different proof of a recent result of Braun, Gr…
math.AG2022★ 4 cited
Stable degenerations of singularities
Chenyang Xu, Ziquan Zhuang
For any Kawamata log terminal (klt) singularity and any minimizer of its normalized volume function, we prove that the associated graded ring is always finitely generated, as conje…
math.AG2022★ 1 cited
On boundedness of singularities and minimal log discrepancies of Kollár components
Ziquan Zhuang
Recent study in K-stability suggests that klt singularities whose local volumes are bounded away from zero should be bounded up to special degeneration. We show that this is true i…