quasi-projective

adj

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.

  1. derived from prōiciō
  2. prefixed as quasi-projective — “quasi- + projective

Definitions

  1. Locally closed with respect to the Zariski topology on projective n-space

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

  2. Comprising an open subscheme of a projective scheme

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA