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arXiv · 1411.6737

Characterization of multiplier ideal sheaves with weights of Lelong number one

Qi'an Guan·Xiangyu Zhou
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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.

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Qi'an Guan, Xiangyu Zhou. 2014-11-25. Characterization of multiplier ideal sheaves with weights of Lelong number one. https://arxiv.org/abs/1411.6737

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