Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branched pull-back components of the space of codimension $2$ foliations
  on $\mathbb P^4$   We present a new list of irreducible components of the space of codimension
two holomorphic foliations on $\mathbb P^{4}$. They are associated to the
pull-back by branched rational maps of 1-dimensional foliations on $\mathbb
P^3$ leaving $2$-dimensional planes invariant.

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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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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: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th