7 citations · 10 across the 11 of their papers we have counts for
11 papers
A note on k[z]-automorphisms in two variables
Eric Edo, Arno van den Essen, Stefan Maubach
We prove that for a polynomial equivalent are: (1) is a -coordinate of , and (2) and is a coordinate in $…
A commuting derivations theorem on UFDs
Harm Derksen, Arno van den Essen, Stefan Maubach
Let be the polynomial ring over (a field of characteristic zero) in variables. The commuting derivations conjecture states that commuting locally nilpotent deriva…
The Nagata automorphism is shifted linearizable
Stefan Maubach, Pierre-Marie Poloni
A polynomial automorphism is called {\em shifted linearizable} if there exists a linear map such that is linearizable. We prove that the Nagata automorphism $N:=(X-YΔ-…
A Characterization of Semisimple Plane Polynomial Automorphisms
Jean-Philippe Furter, Stefan Maubach
It is well-known that an element of the linear group ${\rm GL}_n(\C)$ is semisimple if and only if its conjugacy class is Zariski closed. The aim of this paper is to show that the…
A problem on polynomial maps over finite fields
Stefan Maubach
This is a short note that explains a problem on polynomial maps over finite fields for non-experts. The problem is: Do there exist odd polynomial automorphisms over the finite fiel…
On the methods to construct UFD counterexamples to a cancellation problem
Stefan Maubach
In a previous paper, the author together with prof. dr. Finston constructed a class of UFDs A_{n,m} where n,m\in \N^*. These rings are all stably equivalent (A_{n,m}[T]\cong A_{p,q…