quasi-projective

adjective

Locally closed with respect to the Zariski topology on projective n-space; isomorphic to such a set.

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Meanings

adjectivequasi-projective (not comparable)
  1. not comparablealgebraic geometryLocally closed with respect to the Zariski topology on projective n-space; isomorphic to such a set.
  2. not comparablealgebraic geometryComprising an open subscheme of a projective scheme

Origin

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.

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Cite this entry
APA

quasi-projective. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/quasi-projective

MLA

“quasi-projective.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/quasi-projective. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “quasi-projective,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/quasi-projective.

Source: quasi-projective on Wiktionary, CC BY-SA 4.0.