Calabi-Yau construction by smoothing normal crossing varieties
Algebraic Geometry
2007-05-23 v4 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0604596,
title = {Calabi-Yau construction by smoothing normal crossing varieties},
author = {Nam-Hoon Lee},
journal= {arXiv preprint arXiv:math/0604596},
year = {2007}
}
Comments
A large revision was made. Basically the paper returned to its previous version (v.2). The Kaehlerness arguement in Propositon 9.1 of v.3 needs correction