Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

A remark on $L^2$ extension theorems

Dano Kim

Seoul National University

Abstract

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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