Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.isIso_iff_finrank_eq
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.Flat f] [AlgebraicGeometry.IsFinite f],
CategoryTheory.IsIso f ↔ AlgebraicGeometry.Scheme.Hom.finrank f = 1A finite flat locally finitely presented morphism is an isomorphism if and only if
its rank is constant equal to 1.
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- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites49
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