EnglishKodaira dimension of algebraic fiber spaces over abelian varieties or projective surfaces
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Auteurs : Cao, Junyan (Auteur de la Conférence)
CIRM (Editeur )
14E30 - Minimal model program (Mori theory, extremal rays)
14J10 - Families, moduli, classification: algebraic theory
14K05 - Algebraic theory of abelian varieties
CIRM (Editeur )
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Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Langue : AnglaisDate de publication : 14/02/2019 Date de captation : 07/02/2019 Sous collection : Research talks arXiv category : Algebraic Geometry ; Complex Variables Domaine : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Durée : 00:53:43 Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-07_Cao.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe KählérienneOrganisateurs de la rencontre : Demailly, Jean-Pierre ; Di Nezza, Eleonora ; Guenancia, Henri ; Keller, Julien Dates : 04/02/2019 - 08/02/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/2100.html
Données de citation
DOI : 10.24350/CIRM.V.19490803Citer cette vidéo: 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 |
Bibliographie
- 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
