2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73490We investigate a family of correspondences associated to étale coverings of degree 3 of hyperelliptic curves. They lead to Prym-Tyurin varieties of exponent 3. We identify these varieties and derive some consequences.names of authors correctedAlgebraic Geometry14H40; 14K05A family of Prym-Tyurin varieties of exponent 3text