2022/08/04 by Yan Li, Li, Yan, ZhenYe Li +2
Mathematics · #Geometry and complex manifolds #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.2208.02708
Let G be a connected, complex reductive Lie group and X a \mathbb Q-Fano G-spherical variety. In this paper we compute the weighed non-Archimedean functionals of a G-equivariant normal test configurations of X via combinatory data. Also we define a modified Futaki invariant with respect to the weight g, and give an expression in terms of intersection numbers. Finally we show the equivalence of different notations of stability and gives a stability criterion on \mathbb Q-Fano spherical varieties, which is also a criterion of existence of Kähler-Ricci g-solitons.