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- W2950886510 abstract "Let $I$ be the ideal of relations between the leading terms of the polynomials defining an automorphism of $K^n$. In this paper, we prove the existence of a locally nilpotent derivation which preserves $I$. Moreover, if $I$ is principal, i.e. $I=(R)$, we compute an upper bound for $°_2(R)$ for some degree function $°_2$ defined by the automorphism. As applications, we determine all the principal ideals of relations for automorphisms of $K^3$ and deduce two elementary proofs of the Jung-van der Kulk Theorem about the tameness of automorphisms of $K^{2}$." @default.
- W2950886510 created "2019-06-27" @default.
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- W2950886510 date "2008-08-13" @default.
- W2950886510 modified "2023-09-27" @default.
- W2950886510 title "Relations between the leading terms of a polynomial automorphism" @default.
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