An algebraic variety that is separated over its ground field. Two affine open charts have an affine intersection: their intersection is the inverse image of the closed diagonal inside the product of the two affine charts. This ensures a finite affine cover is acyclic for quasi-coherent sheaves.

Ancestors (11)

  1. Separated scheme
  2. Separated morphism
  3. Morphism of schemes
  4. Scheme
  5. Locally ringed space
  6. Ringed space
  7. Algebraic geometry
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
  11. Home

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