Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isRegularEpi_of_flat_of_surjective_of_isAffine
∀ {X Y : AlgebraicGeometry.Scheme} [AlgebraicGeometry.IsAffine X] [AlgebraicGeometry.IsAffine Y] (π : X ⟶ Y)
[AlgebraicGeometry.Surjective π] [AlgebraicGeometry.Flat π], CategoryTheory.IsRegularEpi πIf π : X ⟶ Y is a flat and surjective morphism between affine schemes, then π is a
regular epimorphism in the category of schemes.
- Defined in
- Mathlib.AlgebraicGeometry.EffectiveEpi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
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