Abstract
We show that the set of cluster points of jumping numbers of a toric plurisubharmonic function in \(\mathbf {C}^n\) is discrete for every \(n \ge 1\). We also give a precise characterization of the set of those cluster points. These generalize a recent result of D. Kim and H. Seo from \(n=2\) to arbitrary dimension. Our method is to analyze the asymptotic behaviors of Newton convex bodies associated to toric plurisubharmonic functions.
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Acknowledgements
The author would like to thank Dano Kim for his helpful and valuable comments. He also wishes to thank the referee for careful reading and useful comments. This research was supported by BK21 PLUS SNU Mathematical Sciences Division and by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2020R1A6A3A01099387).
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Seo, H. Cluster Points of Jumping Numbers of Toric Plurisubharmonic Functions. J Geom Anal 31, 12624–12632 (2021). https://doi.org/10.1007/s12220-021-00730-0
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DOI: https://doi.org/10.1007/s12220-021-00730-0