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math.AC2012
Linearized polynomial maps over finite fields
Joost Berson
We consider polynomial maps described by so-called "(multivariate) linearized polynomials". These polynomials are defined using a fixed prime power, say q. Linearized polynomials h…
math.AC2009★ 1 cited
The tame automorphism group in two variables over basic Artinian rings
Joost Berson
In a recent paper it has been established that over an Artinian ring R all two-dimensional polynomial automorphisms having Jacobian determinant one are tame if R is a Q-algebra. Th…
math.AC2007
Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring
Joost Berson, Arno van den Essen, David Wright
In this paper it is established that all two-dimensional polynomial automorphisms over a regular ring R are stably tame. In the case R is a Dedekind Q-algebra, some stronger result…