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Apriori estimates for scalar curvature type equations on compact Kähler manifolds
Multi angle
Authors : Cheng, Jingrui (Author of the conference)
CIRM (Publisher )
32Q20 - Kähler-Einstein manifolds
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
32Q15 - Kähler manifolds
CIRM (Publisher )
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Abstract :
We develop apriori estimates for scalar curvature type equations on compact Kähler manifolds. As an application, we show that K-energy being proper with respect to $L^1$ geodesic distance implies the existence of constant scalar curvature Kähler metrics. This is joint work with Xiuxiong Chen.
MSC Codes : 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 : Analysis of PDEs ; Differential Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; PDE Format : MP4 (.mp4) - HD Video Time : 00:53:25 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-04_Cheng.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.19491203Cite this video as: Cheng, Jingrui (2019). Apriori estimates for scalar curvature type equations on compact Kähler manifolds. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19491203 URI : http://dx.doi.org/10.24350/CIRM.V.19491203 |
See Also
- [Multi angle] Pluripotential Kähler-Ricci flows / Author of the conference Guedj, Vincent.
- [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.
- [Post-edited] Algebraicity of the metric tangent cones / Author of the conference Wang, Xiaowei.
Bibliography
- Chen, X., & Cheng, J. (2018). On the constant scalar curvature Kähler metrics, general automorphism group.
- Chen, X., & Cheng, J. (2018). On the constant scalar curvature Kähler metrics, existence results.
- Chen, X., & Cheng, J. (2017). On the constant scalar curvature Kähler metrics, apriori estimates.
