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Cluster points of jumping coefficients and equisingularties of plurisubharmonic functions

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arxiv 1604.03406 v1 pith:W5JHLTMB submitted 2016-04-12 math.CV math.AG

Qi'an Guan , Zhenqian Li This is my paper · ORCID
classification math.CVmath.AG
keywords plurisubharmonicclustercoefficientsfunctionfunctionsjumpinganalyticarticle
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In this article, we will construct a plurisubharmonic function whose jumping coefficients have a cluster point. We also give a class of plurisubharmonic functions which cannot be equisingular to any plurisubharmonic function with generalized analytic singularities.

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  1. Jumping numbers of analytic multiplier ideals (with an appendix by S\'ebastien Boucksom)

    math.AG 2019-08 conditional novelty 7.0 of 10

    For toric plurisubharmonic functions in dimension 2, the cluster points of jumping numbers are exactly the positive integer multiples of 1/x0 and 1/y0, determined by the asymptotes of the Newton convex body.

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