"quasi-projective" meaning in English

See quasi-projective in All languages combined, or Wiktionary

Adjective

Etymology: quasi- + projective, the sense being that projective varieties are closed subsets of projective space while quasi-projective varieties are only required to be locally closed, a strictly weaker condition. The second, scheme-theoretic sense generalizes the first. Etymology templates: {{prefix|en|quasi-|projective}} quasi- + projective Head templates: {{en-adj|-}} quasi-projective (not comparable)
  1. (algebraic geometry, of a variety) Locally closed with respect to the Zariski topology on projective n-space; isomorphic to such a set. Tags: not-comparable Categories (topical): Algebraic geometry
    Sense id: en-quasi-projective-en-adj-6bnlN-Ta Categories (other): English entries with incorrect language header, English terms prefixed with quasi- Disambiguation of English entries with incorrect language header: 68 32 Disambiguation of English terms prefixed with quasi-: 68 32 Topics: algebraic-geometry, geometry, mathematics, sciences
  2. (algebraic geometry, of a scheme) Comprising an open subscheme of a projective scheme Tags: not-comparable Categories (topical): Algebraic geometry
    Sense id: en-quasi-projective-en-adj-TSpIGVs3 Topics: algebraic-geometry, geometry, mathematics, sciences

Download JSON data for quasi-projective meaning in English (2.6kB)

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  "etymology_text": "quasi- + projective, the sense being that projective varieties are closed subsets of projective space while quasi-projective varieties are only required to be locally closed, a strictly weaker condition. The second, scheme-theoretic sense generalizes the first.",
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        "Locally closed with respect to the Zariski topology on projective n-space; isomorphic to such a set."
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        "(algebraic geometry, of a variety) Locally closed with respect to the Zariski topology on projective n-space; isomorphic to such a set."
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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 2024-05-25 from the enwiktionary dump dated 2024-05-02 using wiktextract (bb24e0f and c7ea76d). 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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