透過您的圖書館登入
IP:3.15.197.123
  • 學位論文

伽羅瓦理論

Galois Theories

指導教授 : 呂明光
若您是本文的作者,可授權文章由華藝線上圖書館中協助推廣。

摘要


在第二章,我重新整理了Lenstra的筆記和Grothendieck的SGA I的5.4章節。基本上可以分成兩個部分: 第一個部分根據Lenstra筆記的第三章。有一些比較省略的步驟,還有一些步驟留作習題,我把這些地方補上並想辦法寫得更流暢些。第二個部分根據Grothendieck的SGA I的5.4章節,用pro-objects的技術,首次出現是在Seminaire Bourbaki一篇Grothendieck的文章裡。我從原來文章裡簡短的描述中,給了定理4.1一個詳細的證明。

並列摘要


In chapter 2, I reorganize some part of cite{Le08} and cite{SGA1}. Basically it can be divided into two parts: the first part follows cite{Le08} Chapter 3. Some steps are written a bit roughly and some steps are exercises in original texts, I just make them more fluent, and write down the exercises; The second part follows cite{SGA1} Section 5.4, using the technique so called pro-objects, first introduced by Grothendieck in his article in Seminaire Bourbaki cite{Gr59}. I give a proof of cite{SGA1} Expos'{e} V. Theorem 4.1, following the brief sketch in the original article.

並列關鍵字

Galois theory Galois category Grothendieck

參考文獻


[AM69] M. F. Atiyah and I. G. Macdonald. Introduction to commutative algebra.
[Bou98] Nicolas Bourbaki. Commutative algebra. Chapters 1{7. Elements of Mathematics
Reprint of the 1989 English translation.
[CF86] J. W. S. Cassels and A. Frohlich, editors. Algebraic number theory, London,
modules. Seminaire Bourbaki 5 (1958-1960): 369-390, 1959-1960.

延伸閱讀


國際替代計量