Cyclic coverings, Calabi-Yau manifolds and complex multiplication
Duisburg, Essen, 2007
2007dissertation
MathematicsFaculty of Mathematics » Algebraic Geometry and Number Theory
Title:
Cyclic coverings, Calabi-Yau manifolds and complex multiplication
Author:
Rohde, Jan Christian
Thesis advisor:
Viehweg, Eckart
Place of publication:
Duisburg, Essen
Year of publication:
2007
Extent:
148 S. : graph. Darst.
DuEPublico 1 ID
Library shelfmark:
Note:
Duisburg, Essen, Univ., Diss., 2007
Abstract:
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.