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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.
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 approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
Format
PDF-ebook
Sprache
englisch 
Altersgruppe
02-99
Seiten
513
abrufbar
24 Monate
Kopierschutz
Adobe DRM
Verlag
Springer New York
Erscheinungsort
NY/US
Ausgabe
2. Auflage ()
Artikel
DG2143721

'The Arithmetic of Elliptic Curves' von Joseph H. Silverman ist ein digitales PDF ebook zum direkten download auf PC, Mac, Notebook, Tablet, iPad, iPhone, Smartphone, eReader - nicht aber auf Kindle. Sie benötigen eine DRM-fähige Reader-Ausstattung.

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