2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150154We show that infinitesimal Torelli for $n$-forms holds for abelian covers of algebraic varieties of dimension $n\ge 2$, under some explicit ampleness assumptions on the building data of the cover. Moreover, we prove a variational Torelli result for some families of abelian covers.LaTeX, 17 pagesAlgebraic Geometrytext