Arithmetic Compactifications of PEL-Type Shimura Varieties / / Kai-Wen Lan.
By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to graduate st...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2013] ©2013 |
| Year of Publication: | 2013 |
| Edition: | Course Book |
| Language: | English |
| Series: | London Mathematical Society Monographs ;
36 |
| Online Access: | |
| Physical Description: | 1 online resource (584 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Acknowledgments
- Introduction
- Chapter One. Definition of Moduli Problems
- Chapter Two. Representability of Moduli Problems
- Chapter Three. Structures of Semi-Abelian Schemes
- Chapter Four. Theory of Degeneration for Polarized Abelian Schemes
- Chapter Five. Degeneration Data for Additional Structures
- Chapter Six. Algebraic Constructions of Toroidal Compactifications
- Chapter Seven. Algebraic Constructions of Minimal Compactifications
- Appendix A. Algebraic Spaces and Algebraic Stacks
- Appendix B. Deformations and Artin's Criterion
- Bibliography
- Index