Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Group Algebra Decomposition of a Jacobian Variety   Given a compact Riemann surface X with an action of a finite group G, the
group algebra Q[G] provides an isogenous decomposition of its Jacobian variety
JX, known as the group algebra decomposition of JX. We obtain a method to
concretely build a decomposition of this kind. Our method allows us to study
the geometry of the decomposition. For instance, we build several
decompositions in order to determine which one has kernel of smallest order. We
apply this method to families of trigonal curves up to genus 10.

33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat