2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77584(1,d)-polarized abelian surfaces in P^(d-1) with two plane cubic curve fibrations lie in two elliptic P^2-scrolls. The union of these scrolls form a reducible Calabi-Yau 3-fold. In this paper we show that this occurs when d<10 and analyse the family of such surfaces and 3-folds in detail when d=6. In particular, the reducible Calabi-Yau 3-folds deform in that case to irreducible ones with non-normal singularities.41 pagesAlgebraic Geometry14K10 (Primary) 14J32 (Secondary)Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefoldstext