Chow group
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.
Noun
Chow group (plural Chow groups)
- 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.
Forms of Chow group
| plural | Chow groups |
|---|
Origin of Chow group
Named after Wei-Liang Chow by Claude Chevalley (1958).
Questions about Chow group
- What does Chow group mean?
- Chow group means 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.
- What part of speech is Chow group?
- Chow group is a noun.
- What is the plural of Chow group?
- The plural of Chow group is Chow groups.
Words near Chow group in the dictionary
Source and license
Adapted from Wiktionary: Chow group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “Chow group.” Word.ws, https://word.ws/chow_group. Based on Wiktionary, CC BY-SA 4.0.
