Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An oft cited letter from Tate to Serre on computing local heights on
  elliptic curves   A 1979 letter from John Tate to Jean-Pierre Serre in which the author
describes an efficient and elegant algorithm for computing local heights on
elliptic curves.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th