The Arithmetic of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The b...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Silverman, Joseph H. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:2nd ed. 2009.
Colección:Graduate Texts in Mathematics, 106
Temas:
Algebraic geometry.
Algebra.
Number theory.
Algebraic Geometry.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Algebraic Varieties
  • Algebraic Curves
  • The Geometry of Elliptic Curves
  • The Formal Group of an Elliptic Curve
  • Elliptic Curves over Finite Fields
  • Elliptic Curves over C
  • Elliptic Curves over Local Fields
  • Elliptic Curves over Global Fields
  • Integral Points on Elliptic Curves
  • Computing the Mordell#x2013;Weil Group
  • Algorithmic Aspects of Elliptic Curves.

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