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Algebraicity of the metric tangent cones

By Xiaowei Wang

Appears in collections : Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe Kählérienne, Exposés de recherche

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.

Information about the video

Date of recording 04/02/2019
Date of publication 14/02/2019
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19490403
Cite this video Wang, Xiaowei (04/02/2019). Algebraicity of the metric tangent cones. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19490403
URL https://dx.doi.org/10.24350/CIRM.V.19490403

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Bibliography

Li, C., Wang, X., & Xu, C. (2018). Algebraicity of the Metric Tangent Cones and Equivariant K-stability. <arXiv:1805.03393> - https://arxiv.org/abs/1805.03393

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