7 citations · 10 across the 11 of their papers we have counts for
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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…
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…
The Automorphism Group of Certain Factorial Threefolds and a Cancellation Problem
David Finston, Stefan Maubach
The automorphism groups of certain factorial complex affine threefolds admitting locally trivial actions of the additive group are determined. As a consequence new counterexamples…
Constructing (almost) rigid rings and a UFD having infinitely generated Derksen and Makar-Limanov invariant
David Finston, Stefan Maubach
An example is given of a UFD which has infinitely generated Derksen invariant. The ring is \textquotedblleft almost rigid\textquotedblright\ meaning that the Derksen invariant is e…