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Complex Multiplication, S. Lang


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Автор: S. Lang
Название:  Complex Multiplication
ISBN: 9781461254874
Издательство: Springer
Классификация: ISBN-10: 1461254876
Обложка/Формат: Paperback
Страницы: 184
Вес: 0.28 кг.
Дата издания: 31.10.2011
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 11
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The small book by Shimura-Taniyama on the subject of complex multi- is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. Sh 1] Sh 2], and Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961. Several persons have found my lecture notes on this subject useful to them, and so I have decided to publish this short book to make them more widely available. Readers acquainted with the standard theory of abelian varieties, and who wish to get rapidly an idea of the fundamental facts of complex multi- plication, are advised to look first at the two main theorems, Chapter 3, 6 and Chapter 4, 1, as well as the rest of Chapter 4. The applications of Chapter 6 could also be profitably read early. I am much indebted to N. Schappacher for a careful reading of the manu- script resulting in a number of useful suggestions. S. LANG Contents CHAPTER 1 Analytic Complex Multiplication 4 I. Positive Definite Involutions . . . 6 2. CM Types and Subfields. . . . . 8 3. Application to Abelian Manifolds. 4. Construction of Abelian Manifolds with CM 14 21 5. Reflex of a CM Type . . . . .


Complex Multiplication

Автор: S. Lang
Название: Complex Multiplication
ISBN: 0387907866 ISBN-13(EAN): 9780387907864
Издательство: Springer
Рейтинг:
Цена: 18161.00 р.
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Описание: The small book by Shimura-Taniyama on the subject of complex multi- is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. Sh 1] Sh 2], and Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961. Several persons have found my lecture notes on this subject useful to them, and so I have decided to publish this short book to make them more widely available. Readers acquainted with the standard theory of abelian varieties, and who wish to get rapidly an idea of the fundamental facts of complex multi- plication, are advised to look first at the two main theorems, Chapter 3, 6 and Chapter 4, 1, as well as the rest of Chapter 4. The applications of Chapter 6 could also be profitably read early. I am much indebted to N. Schappacher for a careful reading of the manu- script resulting in a number of useful suggestions. S. LANG Contents CHAPTER 1 Analytic Complex Multiplication 4 I. Positive Definite Involutions . . . 6 2. CM Types and Subfields. . . . . 8 3. Application to Abelian Manifolds. 4. Construction of Abelian Manifolds with CM 14 21 5. Reflex of a CM Type . . . . .

Arithmetic on Elliptic Curves with Complex Multiplication

Автор: B.H. Gross; B. Mazur
Название: Arithmetic on Elliptic Curves with Complex Multiplication
ISBN: 3540097430 ISBN-13(EAN): 9783540097433
Издательство: Springer
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Цена: 3487.00 р.
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Seminar on Complex Multiplication

Автор: A. Borel; S. Chowla; C. S. Herz; K. Iwasawa; J. P.
Название: Seminar on Complex Multiplication
ISBN: 3540036040 ISBN-13(EAN): 9783540036043
Издательство: Springer
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Цена: 3487.00 р.
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Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication

Автор: Christian Rohde
Название: Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication
ISBN: 3642006388 ISBN-13(EAN): 9783642006388
Издательство: Springer
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Цена: 6282.00 р.
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Описание: Aims for the construction of families of Calabi-Yau 3-manifolds with dense sets of complex multiplication fibers. Suitable for young mathematicians, physicists and also for experts who are interested in complex multiplication and varieties with complex multiplication, this work introduces the reader to generic Mumford-Tate groups and Shimura data.

Multiplication of RNA Plant Viruses

Автор: Chundi L. Mandahar
Название: Multiplication of RNA Plant Viruses
ISBN: 9048171814 ISBN-13(EAN): 9789048171811
Издательство: Springer
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Цена: 32004.00 р.
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Описание: Biochemical studies on plant virus RNA replication have advanced considerably since 2000, primarily because of new genetic, molecular, biochemical, and enzymatic studies. Certain virus-encoded essential proteins, nucleotide sequence motifs, and RNA secondary structures are central to virus RNA replication, which has a number of stages.

Multiplication of Distributions

Автор: Jean F. Colombeau
Название: Multiplication of Distributions
ISBN: 3540562885 ISBN-13(EAN): 9783540562887
Издательство: Springer
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Цена: 3487.00 р.
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Описание: This monograph presents recent and very elementary developments in a theory of multiplication of distributions, in the field of explicit and numerical solutions of systems of PDEs in physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows and acoustics).

The Multiplication of Viruses / Virus Inclusions in Plant Cells / Virus Inclusions in Insect Cells / Antibiotika Erzeugende Virus-?hnliche Faktoren in Bakterien

Автор: Salvador E. Luria; Kenneth M. Smith; Pierre Freder
Название: The Multiplication of Viruses / Virus Inclusions in Plant Cells / Virus Inclusions in Insect Cells / Antibiotika Erzeugende Virus-?hnliche Faktoren in Bakterien
ISBN: 3211804889 ISBN-13(EAN): 9783211804889
Издательство: Springer
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Цена: 15672.00 р.
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Multiplication Operators on the Bergman Space

Автор: Kunyu Guo; Hansong Huang
Название: Multiplication Operators on the Bergman Space
ISBN: 3662468441 ISBN-13(EAN): 9783662468449
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years.

Multiple Constant Multiplication Optimizations for Field Programmable Gate Arrays

Автор: Martin Kumm
Название: Multiple Constant Multiplication Optimizations for Field Programmable Gate Arrays
ISBN: 3658133228 ISBN-13(EAN): 9783658133221
Издательство: Springer
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Цена: 11753.00 р.
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Описание: This work covers field programmable gate array(FPGA)-specific optimizations of circuits computing the multiplication of avariable by several constants, commonly denoted as multiple constantmultiplication (MCM).

Multiplication & Division

Автор: Major S
Название: Multiplication & Division
ISBN: 1569761965 ISBN-13(EAN): 9781569761960
Издательство: Sage Publications
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Цена: 5226.00 р.
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Описание: Offers visual and kinesthetic strategies for building math skills. This resource includes handy reproducible worksheets, assessments, and overheads.


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