CART

(0) items

Arithmetic Compactifications of Pel Type Shimura Varieties,9780691156545
This item qualifies for
FREE SHIPPING!
FREE SHIPPING OVER $59!

Your order must be $59 or more, you must select US Postal Service Shipping as your shipping preference, and the "Group my items into as few shipments as possible" option when you place your order.

Bulk sales, PO's, Marketplace Items, eBooks, Apparel, and DVDs not included.

Arithmetic Compactifications of Pel Type Shimura Varieties

by
ISBN13:

9780691156545

ISBN10:
0691156549
Format:
Hardcover
Pub. Date:
3/24/2013
Publisher(s):
Princeton Univ Pr
List Price: $150.00

Buy New Textbook

Usually Ships in 3-5 Business Days
$146.25

eTextbook


 
Duration
Price
$180.00

Rent Textbook

We're Sorry
Sold Out

Used Textbook

We're Sorry
Sold Out

More New and Used
from Private Sellers
Starting at $94.85

Questions About This Book?

What version or edition is this?
This is the edition with a publication date of 3/24/2013.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
  • The eBook copy of this book is not guaranteed to include any supplemental materials. Typically only the book itself is included.

Summary

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: A construction of smooth integral models of PEL-type Shimura varieties by defining and representing moduli problems of abelian schemes with PEL structures An analysis of the degeneration of abelian varieties with PEL structures into semiabelian schemes, over noetherian normal complete adic base rings A construction of toroidal and minimal compactifications of smooth integral models of PEL-type Shimura varieties, with detailed descriptions of their structure near the boundary Through these topics, the book generalizes the theory of degenerations of polarized abelian varieties and the application of that theory to the construction of toroidal and minimal compactifications of Siegel moduli schemes over the integers (as developed by Mumford, Faltings, and Chai).


Please wait while the item is added to your cart...