Calabi-Yau coverings over some singular varieties and new Calabi-Yau 3-folds with Picard number one

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This 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 added

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