Sheaf-Theoretic Obstructions in Higher Dimensions and Topological Rigidity in the Affine Plane

The Core References

1. Keller, O. H. (1939): The original paper proposing the Jacobian Conjecture.
2. Abhyankar, S. S., & Moh, T. T. (1975): The fundamental degree reduction and embedding theorem for the complex plane, providing the rigidity for $n=2$.
3. Suzuki, M. (1974): The parallel topological proofs for the two-dimensional affine plane automorphisms.
4. Bass, H., Connell, E. H., & Wright, D. (1982): The classical structural reduction paper detailing the limits of the triangular automorphisms and degree bounds.
5. Jelonek, Z. (1993): The defining paper on the asymptotic locus $A(F)$ and non-properness of polynomial maps.
6. Alpöge, L. (2026): The computational discovery of the degree-3 counterexample mapping in $\mathbb{C}^3$ with constant Jacobian $-2$.