Arithmetic Compactifications of PEL-Type Shimura Varieties

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 students who have an understanding of schemes and abelian varieties.


PEL-type Shimura varieties, which are natural generalizations of modular curves, are useful for studying the arithmetic properti...