Theorems · Theorem · algebraic geometry

WeierstrassCurve.addSubMapCoeff_condition

∀ {R : Type u_1} [inst : CommRing R] (W : WeierstrassCurve R) [inst_1 : W.IsElliptic] (x : Fin 3 → R) (i : Fin 3),
  ∑ j,
      (MvPolynomial.eval x) (MvPolynomial.C ↑W.Δ'⁻¹ * W.addSubMapCoeff (i, j)) * (MvPolynomial.eval x) (W.addSubMap j) =
    x i ^ 4

Defined in

Mathlib.AlgebraicGeometry.EllipticCurve.Affine.AddSubMap

Cited by

2 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingWeierstrassCurve.IsElliptic