trureturingGitHub MATHEMATICAL ATLAS

Factorization / CONCEPT

Canonical-Height Gram of a Cubic Orbit

Canonical height and Galois symmetry determine the constructed cubic-orbit Gram matrix.

Closed Authored exposition
DIRECT PREREQUISITES9
DIRECT CONSEQUENCES0
PROOF DEPTH16
DOCUMENT LINKS1
THEOREM

Canonical-height block Gram matrix

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Golden Cubic Block CongruencesGolden Cubic Block CongruencesAbsolute scalar height under a field automorphismAbsolute scalar height under afield automorphismPositive-Root Lucas-Block TowerPositive-Root Lucas-Block TowerCubic Inertia and SignatureCubic Inertia and SignatureConvergence and the exact quadratic height lawConvergence and the exactquadratic height lawTwo Non-Torsion Cubic Twists on Every Golden Block LayerTwo Non-Torsion Cubic Twists onEvery Golden Block LayerElliptic point groups under a variable changeElliptic point groups under avariable changeBinary Valuation Descent on Mordell CurvesBinary Valuation Descent onMordell CurvesAn integer quadratic map from the parallelogram lawAn integer quadratic map fromthe parallelogram lawCanonical-Height Gram of a Cubic OrbitCanonical-Height Gram of aCubic Orbit
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
16
Layer
D5/S3
Domain
Factorization
Node ID
D5/S3/Factorization/Mordell/CubicOrbitCanonicalHeightGram
Repository path
D5/S3/Factorization/Mordell/CubicOrbitCanonicalHeightGram.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.