paper

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

arXiv:math/0610060

Abstract

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