quasi-projective

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.

Adjective

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.
  2. (algebraic geometry, of a scheme) Comprising an open subscheme of a projective scheme
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