Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some properties of second order theta functions on Prym varieties   Let $P \cup P'$ be the two component Prym variety associated to an \'etale
double cover $\tilde{C} \to C$ of a non-hyperelliptic curve of genus $g \geq 6$
and let $|2\Xi_0|$ and $|2\Xi_0'|$ be the linear systems of second order theta
divisors on $P$ and $P'$ respectively. The component $P'$ contains canonically
the Prym curve $\tilde{C}$. We show that the base locus of the subseries of
divisors containing $\tilde{C} \subset P'$ is scheme-theoretically the curve
$\tilde{C}$. We also prove canonical isomorphisms between some subseries of
$|2\Xi_0|$ and $|2\Xi_0'|$ and some subseries of second order theta divisors on
the Jacobian of $C$.

22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys