English

On equisingular approximation of plurisubharmonic functions

Complex Variables 2022-02-25 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2112.02318,
  title  = {On equisingular approximation of plurisubharmonic functions},
  author = {Jongbong An and Hoseob Seo},
  journal= {arXiv preprint arXiv:2112.02318},
  year   = {2022}
}

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Some minor changes

R2 v1 2026-06-24T08:04:09.951Z