2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145801This note is a report on the observation that some singular varieties admit Calabi--Yau coverings. As an application, we construct 18 new Calabi--Yau 3-folds with Picard number one that have some interesting properties.Several typos were corrected and a condition in Theorem 3.2 was addedAlgebraic GeometryDifferential Geometry14J32Calabi-Yau coverings over some singular varieties and new Calabi-Yau 3-folds with Picard number onetext