Bull. Korean Math. Soc. 2021; 58(5): 1235-1245
Online first article June 29, 2021 Printed September 30, 2021
https://doi.org/10.4134/BKMS.b200911
Copyright © The Korean Mathematical Society.
Dano Kim
Seoul National University
Using recent $L^2$ extension theorems, we give an analytic proof under some conditions of Zariski's theorem on zero-dimensional base loci. This motivates further discussions on the crucial curvature conditions in $L^2$ extension theorems.
Keywords: $L^2$ extension theorems of Ohsawa-Takegoshi type, hermitian metrics of a line bundle, log canonical centers, multiplier ideals
MSC numbers: Primary 32J25
Supported by: This research was supported by Basic Science Research Program through NRF Korea funded by the Ministry of Education (2018R1D1A1B07049683).
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