Theorems · Definition · algebraic geometry
WeierstrassCurve.toCharNeTwoNF
{R : Type u_1} → [inst : CommRing R] → WeierstrassCurve R → [Invertible 2] → WeierstrassCurve.VariableChange RThere is an explicit change of variables of a WeierstrassCurve to
a normal form of characteristic ≠ 2, provided that 2 is invertible in the ring.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- CommRingInvertible
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Invertiblestatement and proof · cited by 549
- WeierstrassCurvestatement and proof · cited by 394
- WeierstrassCurve.a₁proof · cited by 272
- Invertible.invOfproof · cited by 268
- WeierstrassCurve.a₃proof · cited by 210
- WeierstrassCurve.VariableChangestatement · cited by 53
Cited by8
Results whose statement or proof uses this declaration.
- WeierstrassCurve.toShortNFOfCharThreeproof · cited by 5
- WeierstrassCurve.toShortNFproof · cited by 1
- WeierstrassCurve.toShortNFOfCharThree_specproof · cited by 1
- WeierstrassCurve.exists_variableChange_isCharNeTwoNFproof · cited by 0
- WeierstrassCurve.toCharNeTwoNF_rstatement and proof · cited by 0
- WeierstrassCurve.toCharNeTwoNF_sstatement and proof · cited by 0
- WeierstrassCurve.toCharNeTwoNF_tstatement and proof · cited by 0
- WeierstrassCurve.toCharNeTwoNF_ustatement and proof · cited by 0