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Theorems · Definition · algebraic geometry

WeierstrassCurve.map

{R : Type u} →
  [inst : CommRing R] → WeierstrassCurve R → {A : Type v} → [inst_1 : CommRing A] → (R →+* A) → WeierstrassCurve A

The Weierstrass curve mapped over a ring homomorphism f : R →+* A.

Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Weierstrass
Cited by
33 results in Mathlib
Foundations
Depth 16 from the axioms · uses no axioms
Assumes
CommRingCommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WeierstrassCurve.baseChange · cited by 28WeierstrassCurve.baseChan…WeierstrassCurve.Projective.map · cited by 25Projective.mapWeierstrassCurve.Jacobian.map · cited by 24Jacobian.mapWeierstrassCurve.Affine.map · cited by 20Affine.mapWeierstrassCurve.map_baseChange · cited by 14WeierstrassCurve.map_base…WeierstrassCurve.map_b₂ · cited by 7WeierstrassCurve.map_b₂WeierstrassCurve.map_b₄ · cited by 7WeierstrassCurve.map_b₄WeierstrassCurve.map_b₆ · cited by 6WeierstrassCurve.map_b₆WeierstrassCurve.map_a₁ · cited by 5WeierstrassCurve.map_a₁WeierstrassCurve.map_a₃ · cited by 5WeierstrassCurve.map_a₃WeierstrassCurve.map_Ψ₂Sq · cited by 5WeierstrassCurve.map_Ψ₂SqWeierstrassCurve.map_a₂ · cited by 4WeierstrassCurve.map_a₂WeierstrassCurve.map_a₄ · cited by 4WeierstrassCurve.map_a₄WeierstrassCurve.map_a₆ · cited by 4WeierstrassCurve.map_a₆WeierstrassCurve.map_b₈ · cited by 4WeierstrassCurve.map_b₈DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomWeierstrassCurve · cited by 394WeierstrassCurveWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.a₂ · cited by 216WeierstrassCurve.a₂WeierstrassCurve.a₃ · cited by 210WeierstrassCurve.a₃WeierstrassCurve.a₄ · cited by 187WeierstrassCurve.a₄WeierstrassCurve.a₆ · cited by 153WeierstrassCurve.a₆WeierstrassCurve.mapCITED BYCITES

Cites9

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Cited by38

Results whose statement or proof uses this declaration.