Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On foliations by curves with singularities of positive dimension   We present enumerative results for holomorphic foliations by curves on
$\mathbb{P}^n$, $n\geq 3$, with singularities of positive dimension. Some of
the results presented improve previous ones due to
Corr\^ea--Fern\'andez-P\'erez--Nonato Costa--Vidal Martins and Nonato Costa. We
also present an enumerative result bounding the number of isolated
singularities in a projective subvariety invariant by a holomorphic foliation
by curves on $\mathbb{P}^n$ with a singularity of positive dimension.

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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas