59 citations · 308 across the 29 of their papers we have counts for
4 papers · 1 filter
K-stability and polystable degenerations of polarized spherical varieties
Yan Li, Bin Zhou
In this paper, we study the K-stability of polarized spherical varieties. After reduction, it can be treated as a variational problem of the reduced functional of the Futaki invari…
Relative Algebro-Geometric stabilities of Toric Manifolds
Naoto Yotsutani, Bin Zhou
In this paper we study the relative Chow and -stability of toric manifolds in the toric sense. First, we give a criterion for relative -stability and instability of toric Fan…
Modified Futaki invariant and equivariant Riemann-Roch formula
Feng Wang, Bin Zhou, Xiaohua Zhu
In this paper, we give a new version of the modified Futaki invariant for a test configuration associated to the soliton action on a Fano manifold. Our version will naturally come…
A note on the -stability on toric manifolds
Bin Zhou, Xiaohua Zhu
In this note, we prove that on polarized toric manifolds the relative -stability with respect to Donaldson's toric degenerations is a necessary condition for the existence of Ca…