Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Poincare series of multiplier ideals of a simple complete ideal in a
  local ring of a smooth surface   For a simple complete ideal $\wp$ of a local ring at a closed point on a
smooth complex algebraic surface, we introduce an algebraic object, named
Poincar\'e series $P_{\wp}$, that gathers in an unified way the jumping numbers
and the dimensions of the vector space quotients given by consecutive
multiplier ideals attached to $\wp$. This paper is devoted to prove that
$P_{\wp}$ is a rational function giving an explicit expression for it.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol