Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jumping numbers of analytic multiplier ideals (with an appendix by
  S\'ebastien Boucksom)   We extend the study of jumping numbers of multiplier ideals due to
Ein-Lazarsfeld-Smith-Varolin from the algebraic case to the case of general
plurisubharmonic functions. While many properties from
Ein-Lazarsfeld-Smith-Varolin are shown to generalize to the plurisubharmonic
case, important properties such as periodicity and discreteness do not hold any
more. Previously only two particular examples with a cluster point (i.e.
failure of discreteness) of jumping numbers were known, due to Guan-Li and to
Ein-Lazarsfeld-Smith-Varolin respectively. We generalize them to all toric
plurisubharmonic functions in dimension 2 by characterizing precisely when
cluster points of jumping numbers exist and by computing all those cluster
points. This characterization suggests that clustering of jumping numbers is a
rather frequent phenomenon. In particular, we obtain uncountably many new such
examples.

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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
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The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an