importantSYS.SOURCE: What's new• 2026-07-21T21:09:25Z

Analyzing the Jacobian Conjecture Counterexample via Polynomial Maps and Affine Varieties

#jacobian conjecture #polynomials #algebraic geometry #affine varieties

The article presents a counterexample to the Jacobian conjecture in three dimensions, demonstrating a polynomial map with a non-zero constant Jacobian that is not invertible. It analyzes the construction through affine varieties, polynomial transformations, and symmetries to explain the non-global injectivity despite local invertibility.

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