Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equations for superelliptic curves over their minimal field of
  definition   Let $\mathcal X_g$ be a genus $g\geq 2$ superelliptic curve, $F$ its field of
moduli, and $K$ the minimal field of definition. In this short note we
construct an equation of the curve $\mathcal X_g$ over its minimal field of
definition $K$ when $\mathcal X_g$ has extra automorphisms. We make use of the
dihedral invariants of superelliptic curves as defined by Shaska in [6] and
results on the automorphism groups of superelliptic curves as in [10].

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga