Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Preperiodic points for rational functions defined over a rational
  function field of characteristic zero   Let $k$ be an algebraic closed field of characteristic zero. Let $K$ be the
rational function field $K=k(t)$. Let $\phi$ be a non isotrivial rational
function in $K(z)$. We prove a bound for the cardinality of the set of
$K$--rational preperiodic points for $\phi$ in terms of the number of places of
bad reduction and the degree $d$ of $\phi$.

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
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga