%0 Journal Article
%T Generic Torelli theorem for Prym varieties of ramified coverings
%A Valeria Ornella Marcucci
%A Gian Pietro Pirola
%J Mathematics
%D 2010
%I arXiv
%R 10.1112/S0010437X12000280
%X In this paper we prove that the Prym map, from the space of double coverings of a curve of genus g with r branch points to the moduli space of abelian varieties, is generically injective if r>6 and g>1, r=6 and g>2, r=4 and g>4, r=2 and g>5. We also show that a very generic Prym variety of dimension at least 4 is not isogenous to a Jacobian.
%U http://arxiv.org/abs/1010.4483v3