Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication

By Jan Rohde. 2007

89 citations recorded by the source corpus.

We construct families of Calabi-Yau manifolds with dense set of complex multiplication fibers in an arbitrary dimension. 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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/cbf112662c989a10ddfc451211aa7459905034cb

Citations in the corpus

• The Torelli locus and special subvarieties (2011, unknown): “We have not yet pursued this.”