Geodesic
On the algebra of constants of polynomial derivations in two variables
Colloquium Mathematicum, Tome 83 (2000) no. 2, pp. 267-269.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let d be a k-derivation of k[x,y], where k is a field of characteristic zero. Denote by $\widetilde d$ the unique extension of d to k(x,y). We prove that if ker d ≠ k, then ker $\widetilde d$ = (ker d)_0, where (ker d)_0 is the field of fractions of ker d.
DOI : 10.4064/cm-83-2-267-269

Janusz Zieliński 1

1 
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Janusz Zieliński. On the algebra of constants of polynomial derivations in two variables. Colloquium Mathematicum, Tome 83 (2000) no. 2, pp. 267-269. doi : 10.4064/cm-83-2-267-269. http://geodesic.mathdoc.fr/articles/10.4064/cm-83-2-267-269/

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