10 citations · 32 across the 11 of their papers we have counts for
5 papers · 1 filter
Mathieu Subspaces of Univariate Polynomial Algebras
Arno van den Essen, Wenhua Zhao
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals. We then deduce that for some classes of classical u…
On the Image Conjecture
Arno van den Essen, David Wright, Wenhua Zhao
The Image Conjecture was formulated by the third author, who showed that it implied his Vanishing Conjecture, which is equivalent to the famous Jacobian Conjecture. We prove variou…
The Amazing Image Conjecture
Arno van den Essen
In this paper we discuss a general framework in which we present a new conjecture, due to Wenhua Zhao, the Image Conjecture. This conjecture implies the Generalized Vanishing Conje…
Images of Locally Finite Derivations of Polynomial Algebras in Two Variables
Arno van den Essen, David Wright, Wenhua Zhao
In this paper we show that the image of any locally finite -derivation of the polynomial algebra in two variables over a field of characteristic zero is a Mathieu…
Unipotent group actions on affine varieties
Harm Derksen, Arno van den Essen, David R. Finston +1
Algebraic actions of unipotent groups actions on affine varieties ( an algebraically closed field of characteristic 0) for which the algebraic quotient has sm…