Theorems · Definition · number theory
WeierstrassCurve.integralModel
(R : Type u_1) →
[inst : CommRing R] →
{K : Type u_2} →
[inst_1 : Field K] →
[inst_2 : Algebra R K] → (W : WeierstrassCurve K) → [hW : WeierstrassCurve.IsIntegral R W] → WeierstrassCurve RAn integral model of an integral Weierstrass curve.
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- WeierstrassCurvestatement and proof · cited by 394
- WeierstrassCurve.IsIntegralstatement and proof · cited by 23
- WeierstrassCurve.IsIntegral.integralproof · cited by 2
Cited by21
Results whose statement or proof uses this declaration.
- WeierstrassCurve.baseChange_integralModel_eqstatement · cited by 12
- WeierstrassCurve.integralModel_Δ_eqstatement and proof · cited by 2
- WeierstrassCurve.reductionproof · cited by 2
- WeierstrassCurve.integralModel_c₄_eqstatement and proof · cited by 1
- WeierstrassCurve.HasSplitMultiplicativeReduction.casesOnstatement and proof · cited by 1
- WeierstrassCurve.hasGoodReduction_iff_isElliptic_reductionproof · cited by 1
- WeierstrassCurve.integralModel_a₁_eqstatement and proof · cited by 0
- WeierstrassCurve.integralModel_a₂_eqstatement and proof · cited by 0
- WeierstrassCurve.integralModel_a₃_eqstatement and proof · cited by 0
- WeierstrassCurve.integralModel_a₄_eqstatement and proof · cited by 0
- WeierstrassCurve.integralModel_a₆_eqstatement and proof · cited by 0
- WeierstrassCurve.integralModel_b₂_eqstatement and proof · cited by 0