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Kodaira dimension of algebraic fiber spaces over abelian varieties or projective surfaces
Multi angle
Authors : Cao, Junyan (Author of the conference)
CIRM (Publisher )
14E30 - Minimal model program (Mori theory, extremal rays)
14J10 - Families, moduli, classification: algebraic theory
14K05 - Algebraic theory of abelian varieties
CIRM (Publisher )
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Abstract :
Let $f : X \to Y$ be a fibration between two projective manifolds. The Iitaka's conjecture predicts that the Kodaira dimension of $X$ is larger than the sum of the Kodaira dimension of $X$ and the Kodaira dimension of the generic fiber. We explain a proof of the Iitaka conjecture for algebraic fiber spaces over abelian varieties or projective surfaces.
It is a joint work with Mihai Paun.
Keywords : Iitaka conjecture; Kodaira dimension; abelian varieties
MSC Codes : It is a joint work with Mihai Paun.
Keywords : Iitaka conjecture; Kodaira dimension; abelian varieties
14E30 - Minimal model program (Mori theory, extremal rays)
14J10 - Families, moduli, classification: algebraic theory
14K05 - Algebraic theory of abelian varieties
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/02/2019 Conference Date : 07/02/2019 Subseries : Research talks arXiv category : Algebraic Geometry ; Complex Variables Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:53:43 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-07_Cao.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.19490803Cite this video as: Cao, Junyan (2019). Kodaira dimension of algebraic fiber spaces over abelian varieties or projective surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19490803 URI : http://dx.doi.org/10.24350/CIRM.V.19490803 |
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.
- [Post-edited] Algebraicity of the metric tangent cones / Author of the conference Wang, Xiaowei.
Bibliography
- Cao, J., & Păun, M. (2017). Kodaira dimension of algebraic fiber spaces over abelian varieties. Inventiones Mathematicae, 207(1), 345-387 - https://doi.org/10.1007/s00222-016-0672-6
