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Arithmetic Compactifications of PEL-Type Shimura Varieties
Kai-Wen Lan
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Description for Arithmetic Compactifications of PEL-Type Shimura Varieties
Hardback. Series: London Mathematical Society Monographs. Num Pages: 584 pages, Illustrations. BIC Classification: PBK; PBM; PBMW; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 260 x 186 x 36. Weight in Grams: 1150.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2013
Publisher
Princeton University Press United States
Number of pages
584
Condition
New
Series
London Mathematical Society Monographs
Number of Pages
584
Place of Publication
New Jersey, United States
ISBN
9780691156545
SKU
V9780691156545
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Kai-Wen Lan
Kai-Wen Lan is assistant professor of mathematics at the University of Minnesota.
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