Calabi-Yau construction by smoothing normal crossing varieties

Details Calabi-Yau construction by smoothing normal crossing varieties Calabi-Yau construction by smoothing normal crossing varieties

2006-04-27

arxiv.org/abs/math/0604596v4

Mathematics

Algebraic Geometry

A large revision was made. Basically the paper returned to its previous version (v.2). The Kaehlerness arguement in Propositon

Scientific paper

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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