Ziquan Zhuang

activity

20162026

most citedOptimal destabilizing centers and equivariant K-stability

63 citations · 275 across the 28 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AG2018★ 28 cited

Birational superrigidity and K-stability of singular Fano complete intersections

Yuchen Liu, Ziquan Zhuang

We introduce an inductive argument for proving birational superrigidity and K-stability of singular Fano complete intersections of index one, using the same types of information fr…

math.AG2018★ 28 cited

Birational superrigidity and K-stability of Fano complete intersections of index one (with an appendix written jointly with Charlie Stibitz)

Ziquan Zhuang

We prove that every smooth Fano complete intersection of index $1$ and codimension $r$ in $P^{n + r}$ is birationally superrigid and K-stable if $n \geq 10 r$ . We also propose…

math.AG2018★ 16 cited

K-stability of birationally superrigid Fano varieties

Charlie Stibitz, Ziquan Zhuang

We prove that every birationally superrigid Fano variety whose alpha invariant is greater than (resp. no smaller than) $\frac{1}{2}$ is K-stable (resp. K-semistable). We also prove…