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Jacobian conjecture

conjecture asserting that, over a characteristic-zero field K, given a polynomial map f: Kⁿ → Kⁿ, if its Jacobian determinant J: Kⁿ → K is a nonzero constant map, then f admits a polynomial inverse g: Kⁿ → Kⁿ

Pronunciation
/ʤəˈkəʊbɪən kənˈʤɛkʧə/
/ʤəˈkoʊbiən kənˈʤɛkʧər/