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Sung Rak Choi, Subadditivity of Okounkov Bodies

August 19 @ 11:00 am - 12:00 pm KST



Sung Rak Choi
Yonsei University

We will investigate the subadditivity theorem of Okounkov bodies for algebraic fiber spaces. As an application, we obtain the subadditivity of the numerical Kodaira dimension and the restricted volume for algebraic fiber spaces. As a byproduct, we obtain a criterion of birational isotriviality in terms of Okounkov bodies when the general fiber is of general type. As a special case, we prove some variants of the Iitaka conjecture. We expect that our results will provide a new approach toward the Iitaka conjecture.

This is an ongoing research, in collaboration with Dr. Jinhyung Park.


August 19
11:00 am - 12:00 pm KST
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Jaehyun Hong
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 복소기하학연구단
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IBS Center for Complex Geometry
Institute for Basic Science (IBS)
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