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On K3 surfaces with non-elementary hyperbolic automorphism group
Multi angle
Authors : Oguiso, Keiji (Author of the conference)
CIRM (Publisher )
14J50 - Automorphisms of surfaces and higher-dimensional varieties
CIRM (Publisher )
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Abstract :
We study automorphism groups of complex K3 surfaces in the view of hyperbolicity. In particular, we show the finiteness of the Néron-Severi lattices of complex projective K3 surfaces whose automorphism groups are non-elementary hyperbolic under the (optimal) assumption that the Picard number is greater than or equal to 6. This is a joint work in progress with Professor Koji Fujiwara (Kyoto University) and Professor Xun Yu (Tianjing University).
Keywords : K3 surfaces; hyperbolic group; genus one fibrations; Mordell-Weil groups
MSC Codes : Keywords : K3 surfaces; hyperbolic group; genus one fibrations; Mordell-Weil groups
14J50 - Automorphisms of surfaces and higher-dimensional varieties
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 31/07/2025 Conference Date : 09/07/2025 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:55:35 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-07-09_Oguiso.mp4 
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Information on the Event
Event Title : Complex Geometry, Complex Analysis and Dynamics / Géométrie Complexe, Analyse et Dynamique ComplexeEvent Organizers : Biard, Séverine ; Dinh, Tien-Cuong ; Ma, Xiaonan ; Marinescu, George Dates : 07/07/2025 - 11/07/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3351.html
Citation Data
DOI : 10.24350/CIRM.V.20369303Cite this video as: Oguiso, Keiji (2025). On K3 surfaces with non-elementary hyperbolic automorphism group. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20369303 URI : http://dx.doi.org/10.24350/CIRM.V.20369303 |
See Also
- [Multi angle] Perturbations of parabolic endomorphisms in dimension 2 / Author of the conference Raissy, Jasmin.
- [Multi angle] Starting with the Gauss-Bonnet formula: rigidity phenomena on bounded symmetric domains / Author of the conference Mok, Ngaiming.
- [Multi angle] Conformal measures and currents in holomorphic dynamics / Author of the conference Lyubich, Mikhail.
- [Multi angle] Holomorphic symplectic geometry of elliptic surfaces / Author of the conference Hwang, Jun-Muk.
Bibliography
- Koji Fujiwara, Keiji Oguiso and Xun Yu, "On K3 surfaces with hyperbolic automorphism groups" (to be submitted) -
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