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.
Cluster points of jumping coefficients and equisingularties of plurisubharmonic functions
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abstract
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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math.AG 1years
2019 1verdicts
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Jumping numbers of analytic multiplier ideals (with an appendix by S\'ebastien Boucksom)
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.