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Arithmetic compactifications of PEL-...

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Arithmetic compactifications of PEL-type Shimura varieties.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Arithmetic compactifications of PEL-type Shimura varieties./
作者:	Lan, Kai-Wen.
面頁冊數:	1077 p.
附註:	Adviser: Richard L. Taylor.
Contained By:	Dissertation Abstracts International69-04B.
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3312427
ISBN:	9780549613800

Arithmetic compactifications of PEL-type Shimura varieties.
Lan, Kai-Wen.

Arithmetic compactifications of PEL-type Shimura varieties. - 1077 p.

Adviser: Richard L. Taylor.

Thesis (Ph.D.)--Harvard University, 2008.

In this thesis, we constructed minimal (Satake-Baily-Borel) compactifications and smooth toroidal compactifications of integral models of general PEL-type Shimura varieties (defined as in Kottwitz [79]), with descriptions of stratifications and local structures on them extending the well-known ones in the complex analytic theory. This carries out a program initiated by Chai, Faltings, and some other people more than twenty years ago. The approach we have taken is to redo the Faltings-Chai theory [37] in full generality, with as many details as possible, but without any substantial case-by-case study. The essential new ingredient in our approach is the emphasis on level structures, leading to a crucial Weil pairing calculation that enables us to avoid unwanted boundary components in naive constructions.

ISBN: 9780549613800Subjects--Topical Terms:

515831
Mathematics.

Arithmetic compactifications of PEL-type Shimura varieties.
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