On rings of constants of derivations in two variables in positive characteristic

Piotr Jędrzejewicz

Colloquium Mathematicae, Tome 106 (2006), p. 109-117 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $f \in k [x, y] ∖ k [x^{p}, y^{p}]$ .

Publié le : 2006-01-01

Zbl 1118.13027

EUDML-ID : urn:eudml:doc:284099

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-9,
     author = {Piotr J\k edrzejewicz},
     title = {On rings of constants of derivations in two variables in positive characteristic},
     journal = {Colloquium Mathematicae},
     volume = {106},
     year = {2006},
     pages = {109-117},
     zbl = {1118.13027},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-9}
}

Piotr Jędrzejewicz. On rings of constants of derivations in two variables in positive characteristic. Colloquium Mathematicae, Tome 106 (2006) pp. 109-117. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-9/