"quasi-projective" meaning in All languages combined

See quasi-projective on Wiktionary

Adjective [English]

Etymology: From 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-, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 69 31 Disambiguation of English terms prefixed with quasi-: 72 28 Disambiguation of Pages with 1 entry: 73 27 Disambiguation of Pages with entries: 75 25 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
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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 All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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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