Last Updated
：2025/12/05
Neukirch-Uchida theorem
Proper noun
Japanese Meaning
数学の分野において、アルジェブラ的数体の全ての問題が、それらの絶対ガロア群に関する問題に還元できることを示す定理。これは、アナベリアン幾何学の基礎をなす重要な結果の一つ。
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(mathematics) A theorem showing that all problems about algebraic number fields can be reduced to problems about their absolute Galois groups; one of the foundational results of anabelian geometry.
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Neukirch-Uchida theorem
The Neukirch-Uchida theorem plays a central role in modern algebraic number theory by demonstrating that every question about an algebraic number field can be translated into a question about its absolute Galois group.
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The Neukirch-Uchida theorem plays a central role in modern algebraic number theory by demonstrating that every question about an algebraic number field can be translated into a question about its absolute Galois group.
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