95 citations · 531 across the 39 of their papers we have counts for
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math.AG2019★ 10 cited
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…
math.AG2019★ 6 cited
A Minimizing Valuation is Quasi-monomial
Chenyang Xu
We prove a version of Jonsson-Mustaţǎ's Conjecture, which says for any graded sequence of ideals, there exists a quasi-monomial valuation computing its log canonical threshold. As…
math.AG2019★ 2 cited
Moduli of polarized Calabi-Yau pairs
János Kollár, Chenyang Xu
We prove that the irreducible components of the moduli space of polarized Calabi-Yau pairs are projective.