暇つぶし2chat MATH
- 暇つぶし2ch425:現代数学の系譜 雑談
20/04/25 18:14:19.48 b0fzLo6k.net
>>377補足
>Fierce Inertia says:
>None of these are surprising or difficult: they all follow from basic class field theory or from the Jannsen-Wingberg theorem (which IS a difficult result, cf. here for a nice overview: URLリンク(www.numdam.org))
引用のPDFは、JURGEN NEUKIRCHとあって、有名な”ノイキルヒ 内田”の人でしょ?(下記)
で、 (1982)ってのがね~w
Fierce Inertia のいうことにゃ、Joshi の書いてあることは、 (1982)と同じだと
それって、ショルツ先生が、IUTに対して行った誤読に似てるんじゃない?
つまり、勝手に単純化した解釈して、 (1982)JURGEN NEUKIRCHで終りって
「怒れ! Joshi!」って煽ったりして、聞こえないかw(^^;
URLリンク(www.numdam.org)
JURGEN NEUKIRCH The absolute Galois group of a p-adic number field Asterisque, 94 (1982)
URLリンク(en.wikipedia.org)
Neukirch?Uchida theorem
(抜粋)
In mathematics, the Neukirch?Uchida theorem shows that all problems about algebraic number fields can be reduced to problems about their absolute Galois groups. Jurgen Neukirch (1969) showed that two algebraic number fields with the same absolute Galois group are isomorphic,
and Koji Uchida (1976) strengthened this by proving Neukirch's conjecture that automorphisms of the algebraic number field correspond to outer automorphisms of its absolute Galois group.
Florian Pop (1990, 1994) extended the result to infinite fields that are finitely generated over prime fields.
The Neukirch?Uchida theorem is one of the foundational results of anabelian geometry, whose main theme is to reduce properties of geometric objects to properties of their fundamental groups, provided these fundamental groups are sufficiently non-abelian.
References
URLリンク(www.jstor.org)
Pop, Florian (1994), "On Grothendieck's conjecture of birational anabelian geometry" Annals of Mathematics


次ページ
続きを表示
1を表示
最新レス表示
レスジャンプ
類似スレ一覧
スレッドの検索
話題のニュース
おまかせリスト
オプション
しおりを挟む
スレッドに書込
スレッドの一覧
暇つぶし2ch