← Radical-FDRS: One-Dimensional Flattening and Elliptic–Chabauty Machinery on the Fixed Slice / R8 · E_0′ synchronization and the double square-value reduction

Radical-FDRS: One-Dimensional Flattening and Elliptic–Chabauty Machinery on the Fixed Slice R8 · E_0′ synchronization and the double square-value reduction unsigned in the source

R8: Exact E_0′ Synchronization, the Biquadratic Cover Lattice and the Double Square-Value Reduction

For the single slice n = 7/32, shows the genus-5 fibre is the normalisation of a biquadratic cover of the rank-one curve E_0′ (the new and old maps differ by [−1]) and reduces its rational points to the points of E_0′(Q) where R1 = (2X + M)/L and R2 = L·X·(MX − 2AB) are both rational squares.

An exact structural reduction for the historical fixed slice n = 7/32; the desired conclusion is stated only conditionally: 'if proved, then n = 7/32 contains no nondegenerate perfect-cuboid point'. The conditional is never established, and even if it were, it would exclude only one value of n.

Connections · Connections

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NextR9 · The first real computation (the two-gate sieve) · R9: The Exact Two-Gate Mordell–Weil Sieve and Boundary-Tube Forcing on the n = 7/32 Fiber

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