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Sung Rak Choi, Adjoint Asymptotic Multiplier Ideal Sheaves

May 23 @ 11:00 am - 12:00 pm KST

B236-1, IBS Korea, Republic of


Sung Rak Choi
Yonsei University

In this talk, we define and study a triple called a potential triple which consists of a pair (X, Δ) and a polarizing pseudoeffective divisor D.

To such a triple, we define a so-called potential multiplier ideal sheaf which gives a simultaneous generalization of the multiplier ideal sheaf and asymptotic multiplier ideal sheaf. We give a description of the closed subset defined by potential multiplier ideal sheaf in terms of the minimal model program. We also characterize the case where potential multiplier ideal sheaf is trivial. Lastly, we also prove a Nadel type vanishing theorem of cohomology for potential multiplier ideal sheaf. We further present applications of the theory of potential triples. This is a joint work with S.Jang and D.Kim.


May 23
11:00 am - 12:00 pm KST
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IBS Korea, Republic of


Jaehyun Hong
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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