On rings of constants of derivations in two variables in positive characteristic
Volume 106 / 2006
Colloquium Mathematicum 106 (2006), 109-117
MSC: Primary 12H05; Secondary 13N15.
DOI: 10.4064/cm106-1-9
Abstract
Let $k$ be a field of chracteristic $p>0$. We describe all derivations of the polynomial algebra $k[x,y]$, homogeneous with respect to a given weight vector, in particular all monomial derivations, with the ring of constants of the form $k[x^p,y^p,f]$, where $f\in k[x,y]\setminus k[x^p,y^p]$.
