• Thesis
  • Cyclic coverings, Calabi-Yau manifolds and Complex multiplication

Cyclic coverings, Calabi-Yau manifolds and Complex multiplication

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.

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Thesis advisor:
LSF
5111
Prof. Dr. Viehweg, Eckart
Date Created:
18.12.2007
Date submitted:
08.11.2007
Date of doctoral degree:
14.12.2007
Date Issued:
03.01.2008
URN:
urn:nbn:de:hbz:465-20080103-102131-9
Language:
English
Type of Resource:
Text
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Collection:
E-Dissertations
Dewey Decimal Classification:
510 Mathematics
Hosting institution:
Faculty of Mathematics, Algebraic Geometry and Number Theory

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