Geodesic
On rings of constants of derivations in two variables in positive characteristic
Piotr J/edrzejewicz 1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toru/n, Poland
Colloquium Mathematicum, Tome 106 (2006) no. 1, pp. 109-117 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $f\in k[x,y]\setminus k[x^p,y^p]$.
DOI : 10.4064/cm106-1-9
Keywords: field chracteristic describe derivations polynomial algebra homogeneous respect given weight vector particular monomial derivations ring constants form y where setminus y

Piotr J/edrzejewicz  1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toru/n, Poland 
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Piotr J/edrzejewicz. On rings of constants of derivations
 in two variables in positive characteristic. Colloquium Mathematicum, Tome 106 (2006) no. 1, pp. 109-117. doi: 10.4064/cm106-1-9

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