See Chow group in All languages combined, or Wiktionary
{ "etymology_text": "Named after Wei-Liang Chow by Claude Chevalley (1958).", "forms": [ { "form": "Chow groups", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Chow group (plural Chow groups)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "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." ], "id": "en-Chow_group-en-noun-3zIGx4B1", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) 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." ], "related": [ { "word": "Chow ring" } ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Chow group" ] } ], "word": "Chow group" }
{ "etymology_text": "Named after Wei-Liang Chow by Claude Chevalley (1958).", "forms": [ { "form": "Chow groups", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Chow group (plural Chow groups)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "Chow ring" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "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." ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) 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." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Chow group" ] } ], "word": "Chow group" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-15 from the enwiktionary dump dated 2025-02-02 using wiktextract (ca09fec and c40eb85). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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