Neukirch-Uchida theorem

proper noun

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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Meanings

proper noun
  1. mathematicsA 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.

Origin

Named after Jürgen Neukirch (1969) and Kôji Uchida (1976), who worked in this area.

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Cite this entry
APA

Neukirch-Uchida theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Neukirch-Uchida%20theorem

MLA

“Neukirch-Uchida theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Neukirch-Uchida%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Neukirch-Uchida theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Neukirch-Uchida%20theorem.

Source: Neukirch-Uchida theorem on Wiktionary, CC BY-SA 4.0.