Geodesic
Around the Abhyankar-Sathaye conjecture
Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 513-528.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14R10, 14R20, 14L30, 20G15, 13N15
Keywords: coordinate, locally nilpotent derivation, affine algebraic group, action, orbit, Abhyankar-Sathaye conjecture, affine algebraic geometry, polynomial authomorphism 
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     author = {Popov, Vladimir L.},
     title = {Around the {Abhyankar-Sathaye} conjecture},
     journal = {Documenta mathematica},
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     volume = {Alexander S. Merkurjev's Sixtieth Birthday},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a2/}
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Popov, Vladimir L. Around the Abhyankar-Sathaye conjecture. Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 513-528. http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a2/