摘要翻译:
在任意维数上构造了具有稠密复乘纤维集的Calabi-Yau流形族。我们还将给出复数倍增光纤的详细例子。对于这种构造,我们使用具有稠密复乘纤维集的曲线族。此外,我们给出了每个亏格小于或等于7的此类族的例子,并研究了射影线的循环覆盖族的通有Hodge群。
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英文标题:
《Cyclic coverings, Calabi-Yau manifolds and Complex multiplication》
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作者:
Jan Christian Rohde
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We construct families of Calabi-Yau manifolds with dense set of complex multiplication fibers in an arbitrary dimension. We will also give explicite examples of complex multiplication fibers. For this construction we use families of curves with dense set of complex multiplication fibers. In addition, we give examples of such families for each genus less or equal 7 and we study the generic Hodge groups of families of cyclic covers of the projective line.
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PDF链接:
https://arxiv.org/pdf/0711.2195