Advanced Topics in the Arithmetic of Elliptic Curves pdf epub mobi txt 电子书下载 2025

简体网页||繁体网页

☆☆☆☆☆

出版者:Springer

作者:Joseph H. Silverman

出品人:

页数:538

译者:

出版时间:1999-09-24

价格:USD 54.95

装帧:Paperback

isbn号码:9780387943282

丛书系列:Graduate Texts in Mathematics

图书标签:

数论
数学
elliptic_curves
elliptic
curves
解析数论7
Number_Theory

下载链接在页面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

想要找书就要到图书目录大全

book.wenda123.org

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

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.