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Lawrence C. Washington 作者

Springer Verlag

譯者

2003-6 出版日期

487 頁數

42.00元價格

Paperback

Graduate Texts in Mathematics 叢書系列

9787506260022 圖書編碼

割圓域引論在線電子書圖書標籤: 數學數論分圓域 GTM 其餘代數7 代數

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發表於2024-06-28

割圓域引論在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

割圓域引論在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

割圓域引論在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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割圓域引論在線電子書圖書描述

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.

　　本書為英文版。

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