nLab
Prym variety

Contents

Idea

In good cases a homomorphism f:C 1C 2f\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 1J 2J_1 \to J_2. The Prym variety of ff then is the kernel of this map, hence the space of algebraic line bundles on C 1C_1 which pushes to the trivial line under ff.

References

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