Mathlib Map

Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.map_baseChange

∀ {R : Type r} [inst : CommRing R] (W' : WeierstrassCurve.Jacobian R) {S : Type s} [inst_1 : CommRing S] {A : Type u}
  [inst_2 : CommRing A] {B : Type v} [inst_3 : CommRing B] [inst_4 : Algebra R S] [inst_5 : Algebra R A]
  [inst_6 : Algebra S A] [IsScalarTower R S A] [inst_8 : Algebra R B] [inst_9 : Algebra S B] [IsScalarTower R S B]
  (f : A →ₐ[S] B), (W'.baseChange A).map ↑f = W'.baseChange B
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic
Cited by
20 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
CommRingCommRingCommRingCommRingAlgebraAlgebraAlgebraIsScalarTowerAlgebraAlgebraIsScalarTower

Around this declaration

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

WeierstrassCurve.Jacobian.baseChange_add · cited by 0Jacobian.baseChange_addWeierstrassCurve.Jacobian.baseChange_addX · cited by 0Jacobian.baseChange_addXWeierstrassCurve.Jacobian.baseChange_addXYZ · cited by 0Jacobian.baseChange_addXYZWeierstrassCurve.Jacobian.baseChange_addY · cited by 0Jacobian.baseChange_addYWeierstrassCurve.Jacobian.baseChange_dblU · cited by 0Jacobian.baseChange_dblUWeierstrassCurve.Jacobian.baseChange_dblX · cited by 0Jacobian.baseChange_dblXWeierstrassCurve.Jacobian.baseChange_dblXYZ · cited by 0Jacobian.baseChange_dblXYZWeierstrassCurve.Jacobian.baseChange_dblY · cited by 0Jacobian.baseChange_dblYWeierstrassCurve.Jacobian.baseChange_dblZ · cited by 0Jacobian.baseChange_dblZWeierstrassCurve.Jacobian.baseChange_equation · cited by 0Jacobian.baseChange_equat…WeierstrassCurve.Jacobian.baseChange_neg · cited by 0Jacobian.baseChange_negWeierstrassCurve.Jacobian.baseChange_negAddY · cited by 0Jacobian.baseChange_negAd…WeierstrassCurve.Jacobian.baseChange_negDblY · cited by 0Jacobian.baseChange_negDb…WeierstrassCurve.Jacobian.baseChange_negY · cited by 0Jacobian.baseChange_negYWeierstrassCurve.Jacobian.baseChange_nonsingular · cited by 0Jacobian.baseChange_nonsi…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraIsScalarTower · cited by 3896IsScalarTowerAlgHom · cited by 3236AlgHomRingHomClass.toRingHom · cited by 746RingHomClass.toRingHomWeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.Jacobian.map · cited by 24Jacobian.mapWeierstrassCurve.Jacobian.baseChange · cited by 21Jacobian.baseChangeWeierstrassCurve.map_baseChange · cited by 14WeierstrassCurve.map_base…Jacobian.map_baseChangeCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by20

Results whose statement or proof uses this declaration.