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

2006/10/02 by Nam-Hoon Lee, Lee, Nam-Hoon
Mathematics · #14J32 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG #msc:14J32

paper · pdf · doi:10.48550/arxiv.math/0610060

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

arxiv created 2008/01/14 · arxiv updated 2009/12/01

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.

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