English Explanatory Dictionary

quasi-projective

English dictionary entry

Meanings

adj
  1. 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

Word forms

quasi-projective

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.

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