Theorems · Definition · algebraic geometry
WeierstrassCurve.Jacobian.polynomialY
{R : Type r} → [inst : CommRing R] → WeierstrassCurve.Jacobian R → MvPolynomial (Fin 3) RThe partial derivative W_Y(X, Y, Z) with respect to Y of the polynomial W(X, Y, Z)
associated to a Weierstrass curve W in Jacobian coordinates.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- MvPolynomialstatement · cited by 2,140
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- MvPolynomial.pderivproof · cited by 71
- WeierstrassCurve.Jacobian.polynomialproof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.Nonsingularproof · cited by 40
- WeierstrassCurve.Jacobian.eval_polynomialYstatement · cited by 4
- WeierstrassCurve.Jacobian.map_polynomialYstatement · cited by 2
- WeierstrassCurve.Jacobian.eval_polynomialY_of_Z_ne_zerostatement · cited by 1
- WeierstrassCurve.Jacobian.polynomialY_eqstatement · cited by 1
- WeierstrassCurve.Jacobian.map_nonsingularproof · cited by 1
- WeierstrassCurve.Jacobian.nonsingular_iffproof · cited by 1
- WeierstrassCurve.Jacobian.nonsingular_iff_of_Y_eq_negYproof · cited by 1
- WeierstrassCurve.Jacobian.nonsingular_iff_of_Z_ne_zerostatement and proof · cited by 1
- WeierstrassCurve.Jacobian.polynomial_relationstatement and proof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_polynomialYstatement and proof · cited by 0