Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing class polynomials for abelian surfaces   We describe a quasi-linear algorithm for computing Igusa class polynomials of
Jacobians of genus 2 curves via complex floating-point approximations of their
roots. After providing an explicit treatment of the computations in quartic CM
fields and their Galois closures, we pursue an approach due to Dupont for
evaluating $\theta$- constants in quasi-linear time using Newton iterations on
the Borchardt mean. We report on experiments with our implementation and
present an example with class number 17608.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph