Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.one_le_finrank_iff_surjective
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.Flat f] [AlgebraicGeometry.IsFinite f],
1 ≤ AlgebraicGeometry.Scheme.Hom.finrank f ↔ AlgebraicGeometry.Surjective fA finite flat locally finitely presented morphism is surjective if and only if its rank
function is at least 1 everywhere.
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- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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