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arXiv · 2112.02318

On equisingular approximation of plurisubharmonic functions

Jongbong An·Hoseob Seo
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Abstract

It is a natural question to ask which plurisubharmonic functions admit a 'nice' approximation in the sense of a decreasing equisingular approximation with analytic singularities. For arbitrary toric plurisubharmonic functions, we give a criterion for admitting a nice approximation with toric approximants. Our results are motivated by a recent result of Guan for toric plurisubharmonic functions of the diagonal type.

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Jongbong An, Hoseob Seo. 2021-12-04. On equisingular approximation of plurisubharmonic functions. https://arxiv.org/abs/2112.02318

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