Surveys in Differential Geometry

Volume 26 (2021)

Some recent results on multiplier ideal sheaves

Pages: 359 – 371

DOI: https://dx.doi.org/10.4310/SDG.2021.v26.n1.a11

Author

Xiangyu Zhou (Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing, China)

Abstract

In this note, we give a survey on multiplier ideal sheaves, including the basic properties and some recent results.

Keywords

multiplier ideal sheaf, strong openness, plurisubharmonic function, optimal $L^2$ extension, pseudoeffective line bundle, twisted relative pluricanonical bundle

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Dedicated to 110th anniversary of S.S. Chern

The author was partially supported by the National Natural Science Foundation of China (grant nos. 11688101, 12288201).

Published 22 January 2024