2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68046Let H a hyperelliptic curve and let f: C --> H be a cyclic etale covering of degree n, associated to a line bundle in Pic^0 (H) of order n . We prove that the Prym variety P=Prym(C / H) is isomorphic, as abelian varieties, to a product of jacobians when n is not divisible by 4.7 pagesAlgebraic GeometryVariétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptiquetext