Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On relative computability for curves   We discuss a rational version of a conjecture of Matiyasevich, Davis, and
Putnam on the relative decidability of the finiteness problem for Diophantine
equations with respect to the existence problem. We formulate a suspicion that
for rational solutions, the finiteness problem should be relatively decidable
in contrast to the M-D-P conjecture for integer solutions.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga