Chow group

noun

The Chow groups of an algebraic variety over any field are algebro-geometric analogs of the homology of a topological space. The elements of the Chow group are formed out of subvarieties (so-called algebraic cycles) in a similar way to how simplicial or cellular homology groups are formed out of subcomplexes.

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Meanings

nounChow group (plural Chow groups)

plural Chow groups

  1. mathematicsThe Chow groups of an algebraic variety over any field are algebro-geometric analogs of the homology of a topological space. The elements of the Chow group are formed out of subvarieties (so-called algebraic cycles) in a similar way to how simplicial or cellular homology groups are formed out of subcomplexes.

Origin

Named after Wei-Liang Chow by Claude Chevalley (1958).

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Cite this entry
APA

Chow group. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Chow%20group

MLA

“Chow group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Chow%20group. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Chow group,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Chow%20group.

Source: Chow group on Wiktionary, CC BY-SA 4.0.