Geodesic
The tame and the wild automorphisms of polynomial rings in three variables
Shestakov, Ivan1 ; Umirbaev, Ualbai2
1 Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, São Paulo - SP, 05311–970, Brazil; Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
2 Department of Mathematics, Eurasian National University, Astana, 473021, Kazakhstan
Journal of the American Mathematical Society, Tome 17 (2004) no. 1, pp. 197-227

Voir la notice de l'article provenant de la source American Mathematical Society

A characterization of tame automorphisms of the algebra $A=F[x_1,x_2,x_3]$ of polynomials in three variables over a field $F$ of characteristic $0$ is obtained. In particular, it is proved that the well-known Nagata automorphism is wild. It is also proved that the tame and the wild automorphisms of $A$ are algorithmically recognizable.
DOI : 10.1090/S0894-0347-03-00440-5

Shestakov, Ivan 1 ; Umirbaev, Ualbai 2

1 Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, São Paulo - SP, 05311–970, Brazil; Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
2 Department of Mathematics, Eurasian National University, Astana, 473021, Kazakhstan 
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Shestakov, Ivan; Umirbaev, Ualbai. The tame and the wild automorphisms of polynomial rings in three variables. Journal of the American Mathematical Society, Tome 17 (2004) no. 1, pp. 197-227. doi: 10.1090/S0894-0347-03-00440-5

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