Browsing by MFO Series ID "OWP-2008-17"

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A note on k[z]-Automorphisms in Two Variables

[OWP-2008-17] Edo, Eric; Essen, Arno van den; Maubach, Stefan (Mathematisches Forschungsinstitut Oberwolfach, 2008)

We prove that for a polynomial $f \in k[x, y, z]$ equivalent are: (1) $f$ is a $k[z]$ -coordinate of $k[z][x,y]$ , and (2) $k[x, y, z]/(f)\cong k^[2]$ and $f(x,y,a)$ is a coordinate in $k[x,y]$ for some $a \in k$ . This solves ...