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Algebraicity of the metric tangent cones
Post-edited
Authors : Wang, Xiaowei (Author of the conference)
CIRM (Publisher )
14J45 - Fano varieties
32Q20 - Kähler-Einstein manifolds
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
32Q15 - Kähler manifolds
CIRM (Publisher )
Abstract :
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.
MSC Codes : 14J45 - Fano varieties
32Q20 - Kähler-Einstein manifolds
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
32Q15 - Kähler manifolds
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/02/2019 Conference Date : 04/02/2019 Subseries : Research talks arXiv category : Algebraic Geometry ; Differential Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:51:49 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-04_Wang.mp4 
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Information on the Event
Event Title : Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe KählérienneEvent Organizers : Demailly, Jean-Pierre ; Di Nezza, Eleonora ; Guenancia, Henri ; Keller, Julien Dates : 04/02/2019 - 08/02/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2100.html
Citation Data
DOI : 10.24350/CIRM.V.19490403Cite this video as: Wang, Xiaowei (2019). Algebraicity of the metric tangent cones. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19490403 URI : http://dx.doi.org/10.24350/CIRM.V.19490403 |
See Also
- [Multi angle] Pluripotential Kähler-Ricci flows / Author of the conference Guedj, Vincent.
- [Multi angle] Apriori estimates for scalar curvature type equations on compact Kähler manifolds / Author of the conference Cheng, Jingrui.
- [Multi angle] Moduli of algebraic varieties / Author of the conference Dervan, Ruadhai.
- [Multi angle] Kodaira dimension of algebraic fiber spaces over abelian varieties or projective surfaces / Author of the conference Cao, Junyan.
Bibliography
- Li, C., Wang, X., & Xu, C. (2018). Algebraicity of the Metric Tangent Cones and Equivariant K-stability.
