Kavli Affiliate: Feng Wang
| First 5 Authors: Feng Wang, Xiaohua Zhu
| Summary:
We prove that the Gromov-Hausdorff limit of K”ahler-Ricci flow on a $mathbf
G$-spherical Fano manifold $X$ is a $mathbf G$-spherical $mathbb Q$-Fano
variety $X_{infty}$, which admits a (singular) K”ahler-Ricci soliton.
Moreover, the $mathbf G$-spherical variety structure of $X_{infty}$ can be
constructed as a center of torus $mathbb C^*$-degeneration of $X$ induced by
an element in the Lie algebra of Cartan torus of $mathbf G$.
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