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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Arithmetic Compactifications of Pel-Type Shimura Varieties

Arithmetic Compactifications of Pel-Type Shimura Varieties

Lan, Kai-Wen

Hardcover

Series: London Mathematical Society Monographs

General MathematicsGeometry

Currently unavailable to order

ISBN10: 0691156549
ISBN13: 9780691156545
Publisher: Princeton Univ Pr
Published: Mar 24 2013
Pages: 584
Weight: 2.55
Height: 1.40 Width: 7.20 Depth: 9.80
Language: English

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 properties of automorphic forms and automorphic representations, and they have played important roles in the development of the Langlands program. As with modular curves, it is desirable to have integral models of compactifications of PEL-type Shimura varieties that can be described in sufficient detail near the boundary. This book explains in detail the following topics about PEL-type Shimura varieties and their compactifications:

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