Calabi-Yau construction by smoothing normal crossing varieties

Calabi-Yau construction by smoothing normal crossing varieties
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通过平滑正常杂交品种构建 Calabi-Yau

DOI:
10.1142/s0129167x10006173
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发表时间:
2006
期刊:
arXiv: Algebraic Geometry
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本文研究了Calabi-Yau流形的一种构造方法,即光滑法交簇.我们发展了一些理论计算的Picard群的Calabi-Yau流形获得这种方法。一些应用包括,如建设新的例子Calabi-Yau 3-folds与皮卡德数1与一些有趣的性质。
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.