In good cases a homomorphism $f\colon C_1 \to C_2$ of algebraic curves allows to push-forward algebraic line bundles such as to induce a homomorphism of the corresponding Jacobian varieties/Picard varieties $J_1 \to J_2$. The *Prym variety* of $f$ then is the kernel of this map, hence the space of algebraic line bundles on $C_1$ which pushes to the trivial line under $f$.

- Wikipedia,
*Prym variety*

Last revised on October 19, 2014 at 16:43:16. See the history of this page for a list of all contributions to it.