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hyperelliptic-curves

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AEjonanonymous / Non-existence-of-Perfect-Cuboids

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Formal Proof of the Non-Existence of Perfect Cuboids via Mordell-Weil Rank Exhaustion and Minimal Polynomial Irreducibility of the Perfect Cuboid Surface.

lift singularity computational-mathematics modular-arithmetic algebraic-geometry number-theory interactive-theorem-proving hyperelliptic-curves lean4 diophantine-equations euler-bricks lll-algorithm formal-proof perfect-cuboid tate-shafarevich mordell-weil-theorem jacobian-analysis faltings-theorem irreducibility
  • Updated Mar 17, 2026
  • Lean

A1013139298 / Non-existence-of-Perfect-Cuboids

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Prove the non-existence of perfect cuboids using formal methods and algebraic structures verified in Lean 4 with detailed mathematical analysis.

lift singularity computational-mathematics modular-arithmetic algebraic-geometry number-theory interactive-theorem-proving hyperelliptic-curves diophantine-equations euler-bricks lll-algorithm formal-proof perfect-cuboid tate-shafarevich jacobian-analysis faltings-theorem irreducibility
  • Updated Mar 28, 2026

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