Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrally closed ideals in two-dimensional regular local rings are
  multiplier ideals   There has arisen in recent years a substantial theory of "multiplier ideals''
in commutative rings. These are integrally closed ideals with properties that
lend themselves to highly interesting applications. But how special are they
among integrally closed ideals in general? We show that in a two-dimensional
regular local ring with algebraically closed residue field, there is in fact no
difference between "multiplier" and "integrally closed" (or "complete.")
However, among multiplier ideals arising from an integer multiplying constant
(also known as adjoint ideals) the only simple complete ones primary for the
maximal ideal are those of order one.

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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph