Christian Rohde
eBook, PDF

Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication (eBook, PDF)

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The main goal of this book is the construction of families of Calabi-Yau 3-manifolds with dense sets of complex multiplication fibers. The new families are determined by combining and generalizing two methods.Firstly, the method of E. Viehweg and K. Zuo, who have constructed a deformation of the Fermat quintic with a dense set of CM fibers by a tower of cyclic coverings. Using this method, new families of K3 surfaces with dense sets of CM fibers and involutions are obtained.Secondly, the construction method of the Borcea-Voisin mirror family, which in the case of the author's examples yields f...

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