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Tsz On Mario Chan, Analytic Adjoint Ideal Sheaves via Residue Functions

April 20 @ 4:00 pm - 5:00 pm KST

B266, IBS Korea, Republic of


Tsz On Mario Chan
Pusan National University
In this talk, we introduce a modification of the analytic adjoint ideal sheaves. The original analytic adjoint ideal sheaves were studied by Guenancia and Dano Kim. The modified version makes use of the residue functions with respect to log-canonical (lc) measures, giving a sequence of adjoint ideal sheaves which provide a scheme-theoretic description of the lc centres of a given lc pair (X, S) (where X is a complex manifold) defined by multiplier ideal sheaves of quasi-psh functions with suitable regularity assumptions. We also discuss how the use of the residue functions helps to yield a local L2 extension result without using the Ohsawa-Takegoshi extension theorem, and to provide residue L2 norms on unions of lc centres which are invariant under any modifications of the ambient space X. Since some notions of singularities in birational geometry (namely, klt and lc) can be described via integrability conditions, the residue norms can be useful in the study of the inversion of adjunction.


April 20
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


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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