3 papers
math.AG2026
An elementary way to find a counterexample to the Jacobian Conjecture
Arno van den Essen
We show how a counterexample to the Jacobian Conjecture can be found by elementary mathematics. The example we find is, apart from linear coordinate changes the example found by Le…
math.AC2023
Kernels of linear maps: A generalization of Duistermaat and Van der Kallens theorem
Arno van den Essen, Jan Schoone
The theorem of Duistermaat and Van der Kallen from 1998 proved the first case of the Mathieu conjecture. Using the theory of Mathieu-Zhao spaces, we can reformulate this theorem as…
math.AC2017
On the Image Conjecture for Locally Finite Derivations and -Derivations
Arno van den Essen, Wenhua Zhao
Some cases of the LFED Conjecture, proposed by the second author [Z3], for certain integral domains are proved. In particular, the LFED Conjecture is completely established for the…