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Gunhee Cho, Non-measure Hyperbolicity of K3 and Enriques Surfaces

August 3, 2023 @ 4:00 pm - 5:00 pm KST

B266, IBS Korea, Republic of

    Speaker

Gunhee Cho
UCSB

By exploiting the upper semicontinuity of the Kobayashi-Eisenman pseudo volume (and pseudometric) under deformations of complex structures, we establish the non-measure hyperbolicity of K3 surfaces—which M. Green and P. Griffiths verified for certain cases in 1980—holds for all K3 surfaces. Our result provides a stronger condition than the Kobayashi non-hyperbolicity for any complex K3 surface, which had been demonstrated by L. Kamenova, S. Lu, and M. Verbitsky. An interesting consequence is the non-measure hyperbolicity of Enriques surfaces. This is the joint work with David R. Morrison.

Details

Date:
August 3, 2023
Time:
4:00 pm - 5:00 pm KST
Event Category:
Event Tags:

Venue

B266
IBS Korea, Republic of

Organizer

Sungyeon Kim
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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