Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadratic Maps in Two Variables on Arbitrary Fields   Let $\mathbb{F}$ be a field of characteristic different from $2$ and $3$, and
let $V$ be a vector space of dimension $2$ over $\mathbb{F}$. The generic
classification of homogeneous quadratic maps $f\colon V\to V$ under the action
of the linear group of $V$, is given and efficient computational criteria to
recognize equivalence are provided.

35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph