An extremal problem for generalized Lelong numbers

Alexander Rashkovskii

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arXiv · 0903.0849

An extremal problem for generalized Lelong numbers

Alexander Rashkovskii

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Abstract

We look for pointwise bounds on a plurisubharmonic function near its singularity point, given the value of its generalized Lelong number with respect to a plurisubharmonic weight. To this end, an extremal problem is considered. In certain cases, the problem is solved explicitly.

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Alexander Rashkovskii. 2009-07-01. An extremal problem for generalized Lelong numbers. https://arxiv.org/abs/0903.0849

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