Algebraicity of the metric tangent cones
De Xiaowei Wang
Apparaît également dans la collection : Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe Kählérienne
We proved that any K-semistable log Fano cone admits a special degeneration to a uniquely determined K-polystable log Fano cone. This confirms a conjecture of Donaldson-Sun stating that the metric tangent cone of any close point appearing on a Gromov-Hausdorff limit of Kähler-Einstein Fano manifolds depends only on the algebraic structure of the singularity. This is a joint work with Chi Li and Chenyang Xu.
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