English Explanatory Dictionary

Chow group

English dictionary entry

Meanings

noun
  1. 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.

Word forms

Chow group Chow groups

Etymology

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

Related words

Chow ring
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