Thue Equation
Abstract
A nonzero fiber of a binary form with three projective roots is finite.
Theorem 1.1 (Thue Equation).
Lean statement: D5/S3/Arith/DiophantineApproximation/ThueEquation.finite_setOf_eval_homogenize_eq
Proof. Machine-checked in Lean as D5/S3/Arith/DiophantineApproximation/ThueEquation.finite_setOf_eval_homogenize_eq (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
A nonzero fiber of a binary form with three projective roots is finite.