Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Pullback components of the space of codimension one foliations   The space of holomorphic foliations of codimension one and degree $d\geq 2$
in $\mathbb{P}^n$ ($n\geq 3$) has an irreducible component whose general
element can be written as a pullback $F^*\mathcal{F}$, where $\mathcal{F}$ is a
general foliation of degree $d$ in $\mathbb{P}^2$ and
$F:\mathbb{P}^n\dashrightarrow \mathbb{P}^2$ is a general rational linear map.
We give a polynomial formula for the degrees of such components.

8
The categories of this paper are: hep-ex
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The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph