Theorems · Definition · algebraic geometry

WeierstrassCurve.Projective.baseChange

{R : Type r} →
  [inst : CommRing R] →
    WeierstrassCurve.Projective R → (S : Type s) → [inst_1 : CommRing S] → [Algebra R S] → WeierstrassCurve.Projective S

The Weierstrass curve in projective coordinates base changed to an algebra S over R.

Defined in: Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic
Cited by: 21 results in Mathlib
Foundations: Depth 18 from the axioms · uses no axioms
Assumes: CommRing CommRing Algebra

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Cites4

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
WeierstrassCurve.Projectivestatement and proof · cited by 244
WeierstrassCurve.baseChangeproof · cited by 28

Cited by21

Results whose statement or proof uses this declaration.

WeierstrassCurve.Projective.map_baseChangestatement · cited by 20
WeierstrassCurve.Projective.baseChange_equationstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_negstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_negAddYstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_negDblYstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_negYstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_nonsingularstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_polynomialstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_polynomialXstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_polynomialYstatement and proof · cited by 0
WeierstrassCurve.Projective.baseChange_polynomialZstatement and proof · cited by 0
WeierstrassCurve.Projective.Equation.baseChangestatement and proof · cited by 0