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Complex Multiplication and Lifting Problems
Chai, Ching-Li; Conrad, Brian; Oort, Frans
€ 131.21
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Description for Complex Multiplication and Lifting Problems
Series: Mathematical Surveys and Monographs. Num Pages: 390 pages. BIC Classification: PBMS. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178 x 0. .
Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary theory of Shimura varieties. They are special in characteristic 0 and ubiquitous over finite fields. This book explores the relationship between such abelian varieties over finite fields and over arithmetically interesting fields of characteristic 0 via the study of several natural CM lifting problems which had previously been solved only in special cases. In addition to giving complete solutions to such questions, the authors provide numerous examples to illustrate the general theory and present a detailed treatment of ... Read more
Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary theory of Shimura varieties. They are special in characteristic 0 and ubiquitous over finite fields. This book explores the relationship between such abelian varieties over finite fields and over arithmetically interesting fields of characteristic 0 via the study of several natural CM lifting problems which had previously been solved only in special cases. In addition to giving complete solutions to such questions, the authors provide numerous examples to illustrate the general theory and present a detailed treatment of ... Read more
Product Details
Publication date
2014
Publisher
American Mathematical Society United States
Number of pages
390
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
387
Format
Hardback
Place of Publication
Providence, United States
ISBN
9781470410148
SKU
V9781470410148
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Chai, Ching-Li; Conrad, Brian; Oort, Frans
Ching-Li Chai, University of Pennsylvania, Philadelphia, PA, USA Brian Conrad, Stanford University, CA, USA Frans Oort, University of Utrecht, The Netherlands
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