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Jacobian Conjecture in two dimension
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The proof of the two dimensional Jacobian conjecture in this paper might suggest that the Jacobian conjecture of n-varibles can be proved by showing that any component polynomial of Jacobian map should be parameterized by smooth polynomials n-1 variables, establishing generalized Abhyankar-Moh-Suzuki theorem and reducing the same problems of dimension one less.
Every polynomial map of ℂ² with nonzero constant Jacobian determinant has a polynomial inverse
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- https://arxiv.org/pdf/1306.3314
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- Aug 27, 2026Entered the graphEntered the graph; no copy stored