Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Order one equations with the Painlev\'e property   Differential equations with the Painlev\'e property have been studied
extensively due to their appearance in many branches of mathematics and their
applicability in physics. Although a modern, differential algebraic treatment
of the order one equations appeared before, the connection with the classical
theory did not. Using techniques from algebraic geometry we provide the link
between the classical and the modern treatment, and with the help of
differential Galois theory a new classification is derived, both for
characteristic 0 and p.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th