Vladimir L. Popov: Around the Abhyankar--Sathaye Conjecture


Submission: 2014, Nov 27

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.

2010 Mathematics Subject Classification: 20Gxx, 13N15, 14R10

Keywords and Phrases: rational coordinate, unipotent algebraic group, locally nilpotent derivation

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