Elliptic curves

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Elliptic curves. 2nd ed

種類:: 電子ブック
責任表示:: Dale Husemöller ; with appendices by Stefan Theisen, Otto Forster, and Ruth Lawrence
出版情報:: New York : Springer, ©2004
著者名:: Husemöller, Dale.
シリーズ名:: Graduate texts in mathematics ; ; 111
ISBN:: 9780387215778 [0387215778]
9786610189779 [6610189773]
注記:: This book is an introduction to the theory of elliptic curves, ranging from elementary topics to current research. The first chapters, which grew out of Tate's Haverford Lectures, cover the arithmetic theory of elliptic curves over the field of rational numbers. This theory is then recast into the powerful and more general language of Galois cohomology and descent theory. An analytic section of the book includes such topics as elliptic functions, theta functions, and modular functions. Next, the book discusses the theory of elliptic curves over finite and local fields and provides a survey of results in the global arithmetic theory, especially those related to the conjecture of Birch and Swinnerton-Dyer. This new edition contains three new chapters. The first is an outline of Wiles's proof of Fermat's Last Theorem. The two additional chapters concern higher-dimensional analogues of elliptic curves, including K3 surfaces and Calabi-Yau manifolds. Two new appendices explore recent applications of elliptic curve
Includes bibliographical references (pages 465-478) and index
Print version record
ローカル注記:: 岐阜大学構成員専用E-BOOKS (Gifu University members only)

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タイトルが類似している資料

1. Elliptic curves. 2nd ed
Dale Husemöller ; with appendices by Otto Forster, Ruth Lawrence, and Stefan Theisen , Springer , 2004

2. Elliptic curves (: us ; : gw)
Dale Husemöller ; with an appendix by Ruth Lawrence , Springer-Verlag , 1987

詳細

主題:

Electronic books

分類・件名:

DC22 : 516.3/52
BSH : Electronic books
LCSH : Curves, Elliptic
LCSH : Curves, Algebraic
LCSH : Group schemes (Mathematics)
BISACSH : MATHEMATICS -- Geometry -- Algebraic
FREE : Curves, Algebraic
FREE : Curves, Elliptic
FREE : Group schemes (Mathematics)

TTLL:

eng

言語:

英語

形態:

1 online resource (xxi, 487 pages) : illustrations

目次情報:

Introduction to Rational Points on Plane Curves
Elementary Properties of the Chord-Tangent Group Law on a Cubic Curve
Plane Algebraic Curves
Factorial Rings and Elimination Theory
Elliptic Curves and Their Isomorphism
Families of Elliptic Curves and Geometric Properties of Torsion Points
Reduction mod p and Torsion Points
Proof of Mordell's Finite Generation Theorem
Galois Cohomology and Isomorphism Classification of Elliptic Curves over Arbitrary Fields
Descent and Galois Cohomology
Elliptic and Hypergeometric Functions
Theta Functions
Modular Functions
Endomorphisms of Elliptic Curves
Elliptic Curves over Finite Fields
Elliptic Curves over Local Fields
Elliptic Curves over Global Fields and l-adic Representations
L-Functions of an Elliptic Curve and Its Analytic Continuation
Remarks on the Birch and Swinnerton-Dyer Conjecture
Remarks on the Modular Curves Conjecture and Fermat's Last Theorem
Higher Dimensional Analogs of Elliptic Curves: Calabi-Yau Varieties
Families of Elliptic Curves
Appendix I: Calabi-Yau Manifolds and String Theory
Appendix II: Elliptic Curves in Algorithmic Number Theory
Appendix III: Guide to the Exercises

Introduction to Rational Points on Plane Curves
Elementary Properties of the Chord-Tangent Group Law on a Cubic Curve
Plane Algebraic Curves
Factorial Rings and Elimination Theory
Elliptic Curves and Their Isomorphism
Families of Elliptic Curves and Geometric Properties of Torsion Points

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書誌ID:

KB00016425

XISBN:

9780387954905 [0387954902]

内容紹介

目次情報

類似資料:

1 図書 Elliptic curves Husemöller, Dale, Lawrence, Ruth Springer-Verlag	7 図書 Real elliptic curves Alling, Norman L. North-Holland Pub. Co., Sole distributors for the U.S.A. and Canada Elsevier North-Holland
2 図書 Elliptic curves Husemöller, Dale, Forster, Otto, Lawrence, Ruth, Theisen, Stefan Springer	8 図書 Elliptic curves : diophantine analysis Lang, Serge, 1927- Springer-Verlag
3 図書 Elliptic curves Knapp, Anthony W. Princeton University Press	9 図書 Elliptic curves and related topics Kisilevsky, H., Murty, Ram American Mathematical Society
4 図書 Elliptic functions and elliptic curves Du Val, Patrick, 1903- Cambridge University Press	10 図書 Rational points on elliptic curves Silverman, Joseph H., 1955-, Tate, John Torrence, 1925- Springer-Verlag
5 電子ブック Elliptic cohomology Thomas, C. B. Kluwer Academic	11 図書 REAL ELLIPTIC CURVES ALLING, NORMAN L. NORTH-HOLLAND
6 図書 Arithmetic moduli of elliptic curves Katz, Nicholas M., 1943-, Mazur, Barry Princeton University Press	12 図書 Lectures on elliptic curves Cassels, J. W. S. (John William Scott) Cambridge University Press