Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.irreducibleComponentIdeal_def
∀ (X : AlgebraicGeometry.Scheme) (Z : Set ↥X) (hZ : Z ∈ irreducibleComponents ↥X) [inst : AlgebraicGeometry.IsNoetherian X], X.irreducibleComponentIdeal Z hZ = AlgebraicGeometry.Scheme.Hom.ker (X.irreducibleComponentOpen Z).ι
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- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
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- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
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