Arno van den Essen

collaborators

3 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…

math.CO2005

Multimagic Squares

Harm Derksen, Christian Eggermont, Arno van den Essen

In this paper we give the first method for constructing n-multimagic squares (and hypercubes) for any n. We give an explicit formula in the case of squares and an effective existen…