Around the Abhyankar--Sathaye conjecture
classification
🧮 math.AG
keywords
conjectureabhyankar--sathayeansweringaroundassumptioncommutativitycommutingconstructing
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A "rational" version of the strengthened form of the Commuting Derivation Conjecture, in which the assumption of commutativity is dropped, is proved. A systematic method of constructing in any dimension greater than 3 the examples answering in the negative a question by M. El Kahoui is developed.
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