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. |