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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.Hom.image

{X Y : AlgebraicGeometry.Scheme} → (X ⟶ Y) → AlgebraicGeometry.Scheme

The scheme-theoretic image of a morphism.

Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
Cited by
9 results in Mathlib
Foundations
Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.Scheme.Hom.toImage · cited by 13Hom.toImageAlgebraicGeometry.Scheme.Hom.imageι · cited by 13Hom.imageιAlgebraicGeometry.Scheme.Hom.toImage_imageι · cited by 11Hom.toImage_imageιAlgebraicGeometry.Scheme.Hom.toImageAux · cited by 2Hom.toImageAuxAlgebraicGeometry.Scheme.Hom.toImageAux_spec · cited by 1Hom.toImageAux_specAlgebraicGeometry.Scheme.Hom.toImage_app · cited by 1Hom.toImage_appAlgebraicGeometry.Scheme.Hom.toImage_app_injective · cited by 1Hom.toImage_app_injectiveAlgebraicGeometry.Scheme.Hom.toImage_imageι_assoc · cited by 1Hom.toImage_imageι_assocAlgebraicGeometry.exists_finite_imageι_comp_morphismRestrict_of_finite_image_preimage · cited by 1AlgebraicGeometry.exists_…AlgebraicGeometry.IsImmersion.isImmersion_iff_exists_of_quasiCompact · cited by 0IsImmersion.isImmersion_i…AlgebraicGeometry.Scheme.Hom.stalkFunctor_toImage_injective · cited by 0Hom.stalkFunctor_toImage_…AlgebraicGeometry.IsImmersion.isPullback_toImage_liftCoborder · cited by 0IsImmersion.isPullback_to…Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Hom.ker · cited by 51Hom.kerAlgebraicGeometry.Scheme.IdealSheafData.subscheme · cited by 36IdealSheafData.subschemeHom.imageCITED BYCITES

Cites4

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Cited by12

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