Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting points on curves using a map to P^1, II   We introduce a new algorithm to compute the zeta function of a curve over a
finite field. This method extends previous work of ours to all curves for which
a good lift to characteristic zero is known. We develop all the necessary
bounds, analyse the complexity of the algorithm and provide a complete
implementation.

23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom