mordell-weil

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boyam01 / four-distance-rational-study

Exact-arithmetic computational study of the unit-square four-distance problem (rational distances to all four corners, Guy UPINT D19): K2,2 search, slope closure, Sage Mordell-Weil quartic fibers, and a theorem-grade filter stack.

mathematics elliptic-curves number-theory sagemath unsolved-problems computational-number-theory diophantine-equations exact-arithmetic mordell-weil rational-distance-problem

Updated Jul 4, 2026
Python

tretoef-estrella / The-Bridge-Theorem

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Byte-exact theorems on the Fermat quartic fourfold lattice — from a run at the unbeaten dimension-128 sphere-packing record. Keystone: the Bridge Theorem (Hodge norm = geometric intersection form).

mathematics computational-mathematics algebraic-geometry number-theory lattice-reduction sphere-packing lattices cohomology quadratic-forms discriminant exact-arithmetic hodge-theory fermat-varieties mordell-weil

Updated Jul 11, 2026
Python

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