Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Hilbert scheme of a Prym variety   To any unramified double cover $\pi:\tilde C \to C$ of projective irreducible
and nonsingular curves one associates the Prym variety $P = P(\pi)$. For $C$
nonhyperelliptic of genus $g \geq 6$ we consider the natural embedding $\tilde
C \subset P$ (defined up to translation) of $\tilde C$ into $P$ and we study
the local structure of the Hilbert scheme $Hilb^P$ of $P$ at the point
  $[\tilde C]$. We show that this structure is related with the local geometry
of the Prym map, or more precisely with the validity of the infinitesimal
version of Torelli's theorem for Pryms at $[\pi]$

34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio