Rohde, Jan Christian:
Cyclic coverings, Calabi-Yau manifolds and complex multiplication
Duisburg, Essen, 2007
Dissertation / Fach: Mathematik
Fakultät für Mathematik » Algebraische Geometrie und Zahlentheorie
Titel:
Cyclic coverings, Calabi-Yau manifolds and complex multiplication
Autor(in):
Rohde, Jan Christian
Betreuer(in), Doktorvater:
Viehweg, Eckart
Erscheinungsort
Duisburg, Essen
Erscheinungsjahr
2007
Umfang
148 S. : graph. Darst.
URN
DuEPublico ID
Signatur der UB
Notiz:
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.