A. Essen

collaborators

2 papers

math.AC2008

A note on k[z]-automorphisms in two variables

Eric Edo, Arno van den Essen, Stefan Maubach

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) $k [x, y, z] / (f) ≅ k^{[2]}$ and $f (x, y, a)$ is a coordinate in $…

math.AG2008

A commuting derivations theorem on UFDs

Harm Derksen, Arno van den Essen, Stefan Maubach

Let $A$ be the polynomial ring over $k$ (a field of characteristic zero) in $n + 1$ variables. The commuting derivations conjecture states that $n$ commuting locally nilpotent deriva…