Rational Points on Elliptic Curves
โ Joseph H. Silverman;John T. Tate
๐ Library
๐ Springer International Publishing
๐ English
โฆ LIBER โฆ
๐
Rational Points on Modular Elliptic Curves
โ Scribed by Henri Darmon
- Publisher
- American Mathematical Society
- Year
- 2003
- Tongue
- English
- Leaves
- 139
- Series
- Cbms Regional Conference Series in Mathematics
- Category
- Library
โฌ Acquire This Volume
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โฆ Synopsis
This book surveys some recent developments in the arithmetic of modular elliptic curves. It places special emphasis on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the crucial role played by modularity in shedding light on these two closely related issues. The main theme of the book is the theory of complex multiplications, Heegner points, and some conjectural variants. Author information is not given. Material is based on a lecture series given by the author at the CBMS Conference on Modular Elliptic Curves, held at the University of Central Florida, August 2001.
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๐ Library
๐ Springer
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<p><span>The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The bookโs accessibility, the informal wri
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