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Regular version of the site

Working paper

Around the Abhyankar–-Sathaye conjecture

arxiv.org. math. Cornell University, 2014. No. 1409.6330.
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.