Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.polynomial_relation

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Projective R} (P : Fin 3 → R),
  3 * (MvPolynomial.eval P) W'.polynomial =
    P 0 * (MvPolynomial.eval P) W'.polynomialX + P 1 * (MvPolynomial.eval P) W'.polynomialY +
      P 2 * (MvPolynomial.eval P) W'.polynomialZ

Euler's homogeneous function theorem in projective coordinates.

Defined in

Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic

Cited by

0 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRing