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Arithmetic Compactifications of PEL-Type Shimura Varieties
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Arithmetic Compactifications of PEL-Type Shimura Varieties

Kai-Wen Lan

Abstract

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. 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 ... More

Keywords: PEL structures, degeneration, abelian varieties, PEL-type Shimura, modular curves, Langlands program, compactifications, Siegel moduli schemes

Bibliographic Information

Print publication date: 2013 Print ISBN-13: 9780691156545
Published to University Press Scholarship Online: October 2017 DOI:10.23943/princeton/9780691156545.001.0001

Authors

Affiliations are at time of print publication.

Kai-Wen Lan, author
University of Minnesota