nLab semiseparated scheme

A cover {U i} iI\{U_i\}_{i\in I} of a scheme by affine open subsets is semiseparated if U iU jU_i\cap U_j is also affine for every pair (i,j)I×I(i,j)\in I\times I. An algebraic scheme is semiseparated if it has an affine cover which is semiseparated. The notion is introduced in

  • Thomason, Trobaugh, in Grothendieck Festschrift 1989

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