It is explained that the following two problems are equivalent: (i) describing all affine rulings of any given weighted projective plane; (ii) describing all weighted-homogeneous locally nilpotent derivations of k[X,Y,Z]. Then the solution of (i) is sketched. (Outline of our joint work with Peter Russell.)
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-5, author = {Daniel Daigle}, title = {Affine rulings of weighted projective planes}, journal = {Annales Polonici Mathematici}, volume = {77}, year = {2001}, pages = {47-66}, zbl = {0984.14020}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-5} }
Daniel Daigle. Affine rulings of weighted projective planes. Annales Polonici Mathematici, Tome 77 (2001) pp. 47-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-5/