## Generalized Abel-Prym maps and examples

Kelyane Abreu
Universidade Federal Fluminense (Brasil)
Abstract:
Let
$C$
be a smooth non rational projective curve over the complex field
$\mathbb{C}$
and let
$(J(C), \Theta_C)$
be its principally polarized Jacobian. If
$A$
is a subvariety of
$J(C)$
, we define the generalized Abel-Prym map
$\varphi:C\rightarrow A$
to be the composition of the Abel map with the norm map of
$A$
. In this talk we show some results about the degree of this map in the case where
$A$
is one of the components of the isotypical decomposition of the
$J(C)$
, and we will present some examples.