[過去ﾛｸﾞ] Interｰuniversal geometryとABC予想(応用スレ)51 (1002ﾚｽ)
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419(2): 2021/02/13(土)18:18 ID:wXktx3pj(10/18) AAS
>>418
つづき

（原文）
Examples and theorems
The most basic example of a fundamental group is π1(Spec k), the fundamental group of a field k. Essentially by definition, the fundamental group of k can be shown to be isomorphic to the absolute Galois group Gal (ksep / k). More precisely, the choice of a geometric point of Spec (k) is equivalent to giving a separably closed extension field K, and the fundamental group with respect to that base point identifies with the Galois group Gal (K / k). This interpretation of the Galois group is known as Grothendieck's Galois theory.

More generally, for any geometrically connected variety X over a field k (i.e., X is such that Xsep := X ×k ksep is connected) there is an exact sequence of profinite groups

1 → π1(Xsep, x) → π1(X, x) → Gal(ksep / k) → 1.
省8

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49(2): 2021/01/17(日)11:13 ID:W0ihGyot(1) AAS
維新さん、「Silverman＆Tate読むかな」という話しはどうなった？
頑張って読みなよ

（参考）
Inter universal geometry と ABC予想(応援スレ)50
2chｽﾚ:math
419 返信：１３２人目の素数さん[sage] 投稿日：2020/12/28(月) 15:39:51.62 ID:8FQ+nXBZ [6/7]
>>414
省29

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420: 2021/02/13(土)18:21 ID:4eb0VVkt(17/19) AAS
>>419
正規部分群　理解した？ｗ

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