Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Advanced Topics in the Arithmetic of Elliptic Curves

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Joseph H. Silverman 作者
Springer
譯者
1999-09-24 出版日期
538 頁數
USD 54.95 價格
Paperback
Graduate Texts in Mathematics 叢書系列
9780387943282 圖書編碼

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 圖書標籤: 數論  數學  elliptic_curves  elliptic  curves  解析數論7  Number_Theory   


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Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 圖書描述

This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves with complex multiplication, their associated Grössencharacters and L-series, and applications to the construction of abelian extensions of quadratic imaginary fields. Next comes a treatment of elliptic curves over function fields and elliptic surfaces, including specialization theorems for heights and sections. This material serves as a prelude to the theory of minimal models and Néron models of elliptic curves, with a discussion of special fibers, conductors, and Ogg's formula. Next comes a brief description of q-models for elliptic curves over C and R, followed by Tate's theory of q-models for elliptic curves with non-integral j-invariant over p-adic fields. The book concludes with the construction of canonical local height functions on elliptic curves, including explicit formulas for both archimedean and non-archimedean fields.

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