On K3 surfaces with non-elementary hyperbolic automorphism group | Vidéo | Carmin.tv

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On K3 surfaces with non-elementary hyperbolic automorphism group

By Keiji Oguiso

Appears in collection : Complex Geometry, Complex Analysis and Dynamics / Géométrie Complexe, Analyse et Dynamique Complexe

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).

Information about the video

Date of recording 09/07/2025
Date of publication 31/07/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20369303
Cite this video Oguiso, Keiji (09/07/2025). On K3 surfaces with non-elementary hyperbolic automorphism group. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20369303
URL https://dx.doi.org/10.24350/CIRM.V.20369303

Domain(s)

Algebraic Geometry

Bibliography

Koji Fujiwara, Keiji Oguiso and Xun Yu, "On K3 surfaces with hyperbolic automorphism groups" (to be submitted) -

MSC codes

14J50 Automorphisms of surfaces and higher-dimensional varieties

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