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割圆域引论在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Lawrence C. Washington 作者

Springer Verlag

译者

2003-6 出版日期

487 页数

42.00元价格

Paperback

Graduate Texts in Mathematics 丛书系列

9787506260022 图书编码

割圆域引论在线电子书图书标签: 数学数论分圆域 GTM 其余代数7 代数

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Since the publication of the first edition, several remarkable developments have taken place. The work of Thaine, Kolyvagin, and Rubin has produced fairly elementary proofs of Ribet's converse of Herbrand's theorem and of the Main Conjecture. The original proofs of both of these results used delicate techniques from algebraic geometry and were inaccessible to many readers. Also, Sinnott discovered a beautiful proof of the vanishing of Iwasawa's u-invariant that is much simpler than the one given in Chapter 7. Finally, Fermat's Last Theorem was proved by Wiles, using work of Frey, Ribet, Serre, Mazur, Langlands-Tunnell, Taylor-Wiles, and others. Although the proof, which is based on modular forms and elliptic curves, is much different from the cyclotomic approaches described in this book, several of the ingredients were inspired by ideas from cyclotomic fields and Iwasawa theory.

　　本书为英文版。

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