Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plane Jacobian Conjecture for rational polynomials   A non-zero constant Jacobian polynomial maps $F=(P,Q)$ of $\mathbb{C}^2$ is
invertible if $P$ and $Q$ are rational polynomials.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio