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Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication

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Cover of 'Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 An Introduction to Hodge Structures and Shimura Varieties
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    Chapter 3 Cyclic Covers of the Projective Line
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    Chapter 4 Some Preliminaries for Families of Cyclic Covers
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    Chapter 5 The Galois Group Decomposition of the Hodge Structure
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    Chapter 6 The Computation of the Hodge Group
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    Chapter 7 Examples of Families with Dense Sets of Complex Multiplication Fibers
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    Chapter 8 The Construction of Calabi-Yau Manifolds with Complex Multiplication
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    Chapter 9 The Degree 3 Case
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    Chapter 10 Other Examples and Variations
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    Chapter 11 Examples of CMCY Families of 3-manifolds and their Invariants
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    Chapter 12 Maximal Families of CMCY Type
Attention for Chapter 7: Examples of Families with Dense Sets of Complex Multiplication Fibers
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