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This paper aims to advance understanding of the two-variable Jacobian conjecture, particularly at the degree pair (72,108).

August 3, 2026Open Access

A planar program for the two-variable Jacobian conjecture: a theorem ladder, staircase transport, and machine certificates at the (72,108) frontier

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This paper aims to advance understanding of the two-variable Jacobian conjecture, particularly at the degree pair (72,108).
Developed an exact-arithmetic campaign based on prior foundational work.
Introduced a first transverse boundary theorem to retain restrictions on coefficients.
Generated normalized determinants from certain maximal minors of an augmented matrix.
The study establishes a unit ideal on A=0, d=1 using three exact maximal minors.
Retained the complete declared four-coefficient restriction while adding new boundary conditions.
Highlighted several remaining open questions pertaining to the five-coefficient restriction and related systems.

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Paper B develops exact arithmetic concepts for the Jacobian conjecture, addressing the (72,108) frontier and its implications.

Felipe Santibañez-Leal (2026) studied this question.

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