Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of line arrangements and polynomial vector fields   Let $\mathcal{A}$ be a real line arrangement and $\mathcal{D}(\mathcal{A})$
the module of $\mathcal{A}$-derivations view as the set of polynomial vector
fields which possess $\mathcal{A}$ as an invariant set. We first characterize
polynomial vector fields having an infinite number of invariant lines. Then we
prove that the minimal degree of polynomial vector fields fixing only a finite
set of lines in $\mathcal{D}(\mathcal{A})$ is not determined by the
combinatorics of $\mathcal{A}$.

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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess