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

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

2006-10-02

arxiv.org/abs/math/0610060v4

Mathematics

Algebraic Geometry

Several typos were corrected and a condition in Theorem 3.2 was added

Scientific paper

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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