95 citations · 531 across the 39 of their papers we have counts for
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math.AG2012★ 19 cited
The dual complex of singularities
Tommaso de Fernex, János Kollár, Chenyang Xu
The dual complex of a singularity is defined, up-to homotopy, using resolutions of singularities. In many cases, for instance for isolated singularities, we identify and study a "m…
math.AG2012★ 95 cited
Finiteness of algebraic fundamental groups
Chenyang Xu
We show that the algebraic local fundamental group of any klt singularity as well as the algebraic fundamental group of the smooth locus of any log Fano variety are finite.
math.AG2012★ 12 cited
ACC for log canonical thresholds
Christopher Hacon, James McKernan, Chenyang Xu
We show that log canonical thresholds satisfy the ACC