Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A family of polynomials with Galois group $PSL_5(2)$ over
  $\mathbb{Q}(t)$   We compute a family of coverings with four ramification points, defined over
$\mathbb{Q}$, with regular Galois group $PSL_5(2)$.
  On the one hand, this is (to my knowledge) the first explicit polynomial with
group $PSL_5(2)$ over $\mathbb{Q}(t)$. On the other hand, it also positively
answers the question whether $PSL_5(2)$ is the monodromy group of a rational
function over $\mathbb{Q}$. At least this does not follow from considering
class triples in $PSL_5(2)$, as there are no rigid, rational genus-zero
triples. Also, for 4-tuples, our family is the only one with a Hurwitz curve of
genus zero (however it does not seem immediately clear without explicit
computations whether this curve can be defined as a rational curve over
$\mathbb{Q}$). There are also genus zero families with five branch points, and
maybe their Hurwitz spaces can be shown to have rational points; however, so
far I have not seen such arguments.

33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat