Polynomial Determinant Height
Abstract
The determinant height of a polynomial matrix has an explicit product bound.
Theorem 1.1 (Polynomial Determinant Height).
Lean statement: D5/S3/Arith/DiophantineApproximation/PolynomialDeterminantHeight.mulHeight_det_le
Proof. Machine-checked in Lean as D5/S3/Arith/DiophantineApproximation/PolynomialDeterminantHeight.mulHeight_det_le (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
The determinant height of a polynomial matrix has an explicit product bound.