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Mathematics > Algebraic Geometry

arXiv:0711.2195 (math)
[Submitted on 14 Nov 2007 (v1), last revised 3 Mar 2008 (this version, v4)]

Title:Cyclic coverings, Calabi-Yau manifolds and Complex multiplication

Authors:Jan Christian Rohde
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Abstract: 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.
Comments: 151 pages, one reference added
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14D07
Cite as: arXiv:0711.2195 [math.AG]
  (or arXiv:0711.2195v4 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.0711.2195

Submission history

From: Jan Christian Rohde [view email]
[v1] Wed, 14 Nov 2007 14:57:42 UTC (104 KB)
[v2] Fri, 23 Nov 2007 16:01:39 UTC (105 KB)
[v3] Fri, 22 Feb 2008 14:58:38 UTC (106 KB)
[v4] Mon, 3 Mar 2008 14:02:21 UTC (107 KB)
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