Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computer search for curves with many points among abelian covers of
  genus 2 curves   Using class field theory one associates to each curve C over a finite field,
and each subgroup G of its divisor class group, unramified abelian covers of C
whose genus is determined by the index of G. By listing class groups of curves
of small genus one may get examples of curves with many points; we do this for
all curves of genus 2 over the fields of cardinality 5,7,9,11,13 and 16, giving
new entries for the tables of curves with many points (www.manYPoints.org).

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio