Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Berstein-Sato polynomial of a meromorphic function   We define Berstein-Sato polynomials for meromorphic functions and study their
basic properties. In particular, we prove a Kashiwara-Malgrange type theorem on
their geometric monodromies, which would be useful also in relation with the
monodromy conjecture. A new feature in the meromorphic setting is that we have
several b-functions whose roots yield the same set of the eigenvalues of the
Milnor monodromies. We introduce also multiplier ideal sheaves for meromorphic
functions and show that their jumping numbers are related to our b-functions.

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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol