Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.baseChange_polynomial

∀ {R : Type r} [inst : CommRing R] (W' : WeierstrassCurve.Projective R) {S : Type s} [inst_1 : CommRing S] {A : Type u}
  [inst_2 : CommRing A] {B : Type v} [inst_3 : CommRing B] [inst_4 : Algebra R S] [inst_5 : Algebra R A]
  [inst_6 : Algebra S A] [IsScalarTower R S A] [inst_8 : Algebra R B] [inst_9 : Algebra S B] [IsScalarTower R S B]
  (f : A →ₐ[S] B), (W'.baseChange B).polynomial = (MvPolynomial.map ↑f) (W'.baseChange A).polynomial

Defined in

Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingCommRingAlgebraAlgebraAlgebraIsScalarTowerAlgebraAlgebraIsScalarTower