Abstract

A Humbert-Edge curve of type n ≥ 2 is a non-degenerate smooth complete intersection of n − 1 diagonal quadrics in P^n. Such a curve has an interesting geometry since it has a natural action of the group (Z/2Z)^n. We present here a decomposition of its Jacobian variety as a product of Prym- Tyurin varieties, and we compute the kernel of the corresponding isogeny.