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arxiv: math/0610060 · v4 · submitted 2006-10-02 · 🧮 math.AG · math.DG

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

classification 🧮 math.AG math.DG
keywords somecalabi--yaucalabi-yaucoveringsfoldsnumberpicardsingular
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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.

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