Cyclic coverings, Calabi-yau manifolds and complex multiplication

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 Fe...

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Autor principal: Rohde, Jan Christian
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edició:1st ed. 2009.
Col·lecció:Lecture Notes in Mathematics 1975
Matèries:
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Nota: Description d'apès consultation du 18 octobre 2011
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Edition sous un autre format:• Cyclic coverings, Calabi-Yau manifolds and complex multiplication, Jan Christian Rohde, Berlin, Springer, 2009, 1 vol. (IX-228 p.), Lecture notes in mathematics, 978-3-642-00638-8
• Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication, Texte imprimé, 9783642006555
• Cyclic coverings, Calabi-Yau manifolds and complex multiplication, Jan Christian Rohde, Berlin, Springer, 2009, 1 vol. (IX-228 p.), Lecture notes in mathematics, 978-3-642-00638-8
Taula de continguts:
  • An Introduction to Hodge Structures and Shimura Varieties Cyclic Covers of the Projective Line Some Preliminaries for Families of Cyclic Covers The Galois Group Decomposition of the Hodge Structure The Computation of the Hodge Group Examples of Families with Dense Sets of Complex Multiplication Fibers The Construction of Calabi-Yau Manifolds with Complex Multiplication The Degree 3 Case Other Examples and Variations Examples of Families of 3-manifolds and their Invariants Maximal Families of CMCY Type