Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the containment $I^{(3)} \subseteq I^2$ and configurations of triple
  points in B\"{o}r\"{o}czky line arrangements   We study sets of triple points of B\"{o}r\"{o}czky's arrangements of lines in
the context of the containment problem proposed by Harbourne and Huneke. We
show that in the class of those arrangements, the smallest counterexample to
the containment $I^{(3)} \subseteq I^2$ is obtained when the number of lines is
equal to 12.

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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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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: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: adap-org