95 citations · 531 across the 39 of their papers we have counts for
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Special test configurations and -stability of Fano varieties
Chi Li, Chenyang Xu
For any flat projective family $(\mX,\mL)\rightarrow C$ such that the generic fibre $\mX_η$ is a klt Q-Fano variety and $\mL|_{\mX_η}\sim_{Q}-K_{X_η}$, we use the techniques from t…
Log-canonical models of singular pairs and its applications
Yuji Odaka, Chenyang Xu
We prove the existence of log canonical modifications for a log pair. As an application, together with Kollär's gluing theory, we remove the assumption in the first named author's…
On Finiteness of B-representation and Semi-log Canonical Abundance
Christopher Hacon, Chenyang Xu
We give a new proof of the finiteness of B-representations. As a consequence of the finiteness of B-representations and Kollár's gluing theory on lc centers, we prove that the (rel…
Existence of log canonical closures
Christopher D. Hacon, Chenyang Xu
Let be a projective morphism of normal varieties and a dlt pair. We prove that if there is an open set , such that has a good m…