Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicities of Jumping Numbers   We study multiplicities of jumping numbers of multiplier ideals in a smooth
variety of arbitrary dimension. We prove that the multiplicity function is a
quasi-polynomial, hence proving that the Poincar\'e series is a rational
function. We further study when the various components of the quasi-polynomial
have the highest possible degree and relate it to jumping numbers contributed
by Rees valuations. Finally, we study the special case of monomial ideals.

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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics