Abstract
Let k[x, y] be the polynomial ring in two variables over an algebraically closed field k of characteristic zero. We call quadratic derivations the derivations of k[x, y] of the form
For some p, we are able to decide the simplicity of Δ p : if the degree of p is odd, then Δ p is simple; if p has degree 2, then Δ p is simple if and only if p fulfills an arithmetic condition.
*Supported by KBN Grant 2 PO3A 017 16.
Acknowledgments
Notes
*Supported by KBN Grant 2 PO3A 017 16.