Ebook: The Arithmetic of Elliptic Curves
Author: Joseph H. Silverman (auth.)
- Tags: Algebra, Number Theory
- Series: Graduate Texts in Mathematics 106
- Year: 1986
- Publisher: Springer New York
- Language: English
- pdf
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-4
Algebraic Varieties....Pages 5-20
Algebraic Curves....Pages 21-44
The Geometry of Elliptic Curves....Pages 45-109
The Formal Group of an Elliptic Curve....Pages 110-129
Elliptic Curves over Finite Fields....Pages 130-145
Elliptic Curves over ?....Pages 146-170
Elliptic Curves over Local Fields....Pages 171-188
Elliptic Curves over Global Fields....Pages 189-240
Integral Points on Elliptic Curves....Pages 241-275
Computing the Mordell-Weil Group....Pages 276-323
Back Matter....Pages 324-402
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-4
Algebraic Varieties....Pages 5-20
Algebraic Curves....Pages 21-44
The Geometry of Elliptic Curves....Pages 45-109
The Formal Group of an Elliptic Curve....Pages 110-129
Elliptic Curves over Finite Fields....Pages 130-145
Elliptic Curves over ?....Pages 146-170
Elliptic Curves over Local Fields....Pages 171-188
Elliptic Curves over Global Fields....Pages 189-240
Integral Points on Elliptic Curves....Pages 241-275
Computing the Mordell-Weil Group....Pages 276-323
Back Matter....Pages 324-402
....
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