Structures · Geometry
AlgebraicGeometry.FormallyUnramified
A morphism of schemes f : X ⟶ Y is formally unramified if for each affine U ⊆ Y and
V ⊆ f ⁻¹' U, The induced map Γ(Y, U) ⟶ Γ(X, V) is formally unramified.
See FormallyUnramified.hom_ext and FormallyUnramified.of_hom_ext
for the infinitesimal lifting criterion.
- Shape
- One type argument · adds formallyUnramified_appLE
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Extended by1
Forgetful instances
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Assumed by10
- AlgebraicGeometry.Scheme.Hom.formallyUnramified_appLE
- AlgebraicGeometry.FormallyUnramified.formallyUnramified_appLE
- AlgebraicGeometry.FormallyUnramified.instIsSeparableCarrierResidueFieldCoeContinuousMapCarrierCarrierCommRingCatHomTopCatBaseOfLocallyOfFiniteType
- AlgebraicGeometry.FormallyUnramified.hom_ext
- AlgebraicGeometry.FormallyUnramified.of_comp
- AlgebraicGeometry.FormallyUnramified.stalkMap
- AlgebraicGeometry.Etale.of_comp
- AlgebraicGeometry.FormallyUnramified.formallyUnramified_of_affine_subset
- AlgebraicGeometry.FormallyUnramified.isOpenImmersion_diagonal
- AlgebraicGeometry.Etale.of_formallyUnramified_of_flat
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