Characterization of multiplier ideal sheaves with weights of Lelong number one
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Publication:887345
DOI10.1016/J.AIM.2015.08.002zbMATH Open1343.32025arXiv1411.6737OpenAlexW2964109810MaRDI QIDQ887345
Author name not available (Why is that?)
Publication date: 28 October 2015
Published in: (Search for Journal in Brave)
Abstract: In this article, we characterize plurisubharmonic functions of Lelong number one at the origin, such that the germ of the associated multiplier ideal sheaf is nontrivial: in arbitrary complex dimension, their singularity must be the sum of a germ of smooth divisor and of a plurisubharmonic function with zero Lelong number. We also present a new proof of the related well known integrability criterion due to Skoda.
Full work available at URL: https://arxiv.org/abs/1411.6737
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