Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abelian varieties with group action   Let G be a finite group acting on a smooth projective curve X. This induces
an action of G on the Jacobian JX of X and thus a decomposition of JX up to
isogeny. The most prominent example of such a situation is the group G of two
elements. Let X --> Y denote the corresponding quotient map. Then JX is
isogenous to the product of JY with the Prym variety of X/Y. In this paper some
general results on group actions on abelian varieties are given and applied to
deduce a decomposition of the jacobian JX for arbitrary group actions. Several
examples are given.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org