7 citations · 7 across the 2 of their papers we have counts for
4 papers
K-polystable toric Fano varieties with small alpha invariants
Jihao Liu, Ziwen Zhu
For every , we exhibit an -dimensional K-polystable toric -Fano variety , defined by the face fan of an explicit lattice polytope, and whose alpha inva…
Equivariant K-stability under finite group action
Yuchen Liu, Ziwen Zhu
We show that G-equivariant K-semistability (resp. G-equivariant K-polystability) implies K-semistability (resp. K-polystability) for log Fano pairs when G is a finite group.
A Note on Equivariant K-stability
Ziwen Zhu
We define G-pseudovaluations on a variety with a group action G. By introducing G-pseudovaluations, we are able to give some criteria for G-equivariant K-stability of Fano varietie…
Higher Codimensional Alpha Invariants and Characterization of Projective Spaces
Ziwen Zhu
We generalize the definition of alpha invariant to arbitrary codimension. We also give a lower bound of these alpha invariants for K-semistable Q-Fano varieties and show that we ca…