Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman
Type de document : MonographieCollection : Graduate texts in mathematics, 151Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, cop. 1994Description : 1 vol. (XIII-525 p.) : fig. ; 25 cmISBN: 0387943250; 3540943250.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 488-497. Index.Sujet MSC : 14H52, Curves in algebraic geometry, Elliptic curves14G40, Arithmetic problems in algebraic geometry. Diophantine geometry, Arithmetic varieties and schemes; Arakelov theory; heights
11-02, Research exposition (monographs, survey articles) pertaining to number theory
11Gxx, Number theory - Arithmetic algebraic geometry (Diophantine geometry)
14-02, Research exposition (monographs, survey articles) pertaining to algebraic geometryEn-ligne : Springerlink | Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 14 SIL (Browse shelf(Opens below)) | Available | 08248-01 |
Bibliogr. p. 488-497. Index
In The Arithmetic of Elliptic Curves, the author presented the basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational points and Siegel's theorem on the finiteness of the set of integral points. This book continues the study of elliptic curves by presenting six important, but somewhat more specialized topics: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Néron models, Kodaira-N ron classification of special fibres, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Néron's theory of canonical local height functions. (Source : Springer)
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