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arxiv: math/0604596 · v4 · submitted 2006-04-27 · 🧮 math.AG · math.DG

Calabi-Yau construction by smoothing normal crossing varieties

classification 🧮 math.AG math.DG
keywords calabi--yauconstructionsomecrossingmanifoldsmethodnormalpicard
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We investigate a method of construction of Calabi--Yau manifolds, that is, by smoothing normal crossing varieties. We develop some theories for calculating the Picard groups of the Calabi--Yau manifolds obtained in this method. Some applications are included, such as construction of new examples of Calabi--Yau 3-folds with Picard number one with some interesting properties.

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