Seminar on Complex Multiplication PDF Download
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Author: A. Borel
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 116
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Book Description
Author: A. Borel
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 116
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Book Description
Author: A. Borel
Publisher: Springer
ISBN: 3540347984
Category : Mathematics
Languages : en
Pages : 110
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: A. Borel
Publisher:
ISBN: 9783662173909
Category :
Languages : en
Pages : 112
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Book Description
Author: Armand Borel
Publisher:
ISBN: 9780387036045
Category : Class field theory
Languages : en
Pages : 106
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Book Description
Author: Ching-Li Chai
Publisher: American Mathematical Soc.
ISBN: 1470410141
Category : Mathematics
Languages : en
Pages : 402
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Book Description
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 many fundamental results and concepts in the arithmetic of abelian varieties, such as the Main Theorem of Complex Multiplication and its generalizations, the finer aspects of Tate's work on abelian varieties over finite fields, and deformation theory. This book provides an ideal illustration of how modern techniques in arithmetic geometry (such as descent theory, crystalline methods, and group schemes) can be fruitfully combined with class field theory to answer concrete questions about abelian varieties. It will be a useful reference for researchers and advanced graduate students at the interface of number theory and algebraic geometry.
Author: John Horvath
Publisher: Springer
ISBN: 3540364935
Category : Mathematics
Languages : en
Pages : 297
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Author: Lawrence Zalcman
Publisher: Springer
ISBN: 3540358250
Category : Mathematics
Languages : en
Pages : 164
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Author: Bhartendu Harishchandra
Publisher: Springer
ISBN: 354035865X
Category : Mathematics
Languages : en
Pages : 152
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Author: Jon Barwise
Publisher: Springer
ISBN: 3540359001
Category : Mathematics
Languages : en
Pages : 277
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Book Description
