Home
Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication / Edition 1
Loading Inventory...
Barnes and Noble
Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication / Edition 1
Current price: $54.99
Barnes and Noble
Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication / Edition 1
Current price: $54.99
Loading Inventory...
Size: OS
*Product Information may vary - to confirm product availability, pricing, and additional information please contact Barnes and Noble
Calabi-Yau manifolds have been an object of extensive research during the last two decades. One of the reasons is the importance of Calabi-Yau 3-manifolds in modern physics - notably string theory. An interesting class of Calabi-Yau manifolds is given by those with complex multiplication (CM). Calabi-Yau manifolds with CM are also of interest in theoretical physics, e. g. in connection with mirror symmetry and black hole attractors. It is the main aim of this book to construct families of Calabi-Yau 3-manifolds with dense sets ofbers with complex multiplication. Most - amples in this book are constructed using families of curves with dense sets ofbers with CM. The contents of this book can roughly be divided into two parts. The first six chapters deal with families of curves with dense sets of CMbers and introduce the necessary theoretical background. This includes among other things several aspects of Hodge theory and Shimura varieties. Using the first part, families of Calabi-Yau 3-manifolds with dense sets ofbers withCM are constructed in the remaining five chapters. In the appendix one finds examples of Calabi-Yau 3-manifolds with complex mul- plication which are not necessarilybers of a family with a dense set ofCMbers. The author hopes to have succeeded in writing a readable book that can also be used by non-specialists.