A Strong Abhyankar-Moh Theorem and Criterion of Embedded Line
classification
🧮 math.AG
keywords
linetheoremabhyankar-mohcriterionembeddedpolynomialstrongcondition
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The condition of plane polynomial curve to be a line in well-known Abhyankar-Moh Theorem is replaced by weaker ones. A criterion of embedded line is obtained from this strong theorem: Two polynomials can generate the entire polynomial ring iff their derivatives can be generated.
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