2023/05/09 by Feng Wang, Wang, Feng, Xiaohua Zhu +1
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Black Holes and Theoretical Physics
paper · pdf · doi:10.48550/arxiv.2305.05366
We prove that the Gromov-Hausdorff limit of Kähler-Ricci flow on a \mathbf G-spherical Fano manifold X is a \mathbf G-spherical \mathbb Q-Fano variety X∞, which admits a (singular) Kähler-Ricci soliton. Moreover, the \mathbf G-spherical variety structure of X∞ 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.