Abstract

Let X 1, ..., X m denote smooth projective curves of genus g i 2 over an algebraically closed field of characteristic 0 and let n denote any integer at least equal to . We show that the product JX 1 × ... × JX m of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent n m-1. This exponent is considerably smaller than the exponent of the structure of a Prym-Tyurin variety known to exist for an arbitrary principally polarized abelian variety. Moreover it is given by explicit correspondences. © Springer Science+Business Media B.V. 2008.