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# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

## Affine rulings of weighted projective planes

### Tom 76 / 2001

Annales Polonici Mathematici 76 (2001), 47-66 MSC: Primary 14R10; Secondary 14J26, 14R20, 13N15. DOI: 10.4064/ap76-1-5

#### Streszczenie

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 ${\bf k}[X,Y,Z]$.

Then the solution of (i) is sketched. (Outline of our joint work with Peter Russell.)

#### Autorzy

• Daniel DaigleDepartment of Mathematics and Statistics
University of Ottawa
Ottawa, Ontario