# Affine rulings of weighted projective planes

```@article{Daigle2001AffineRO,
title={Affine rulings of weighted projective planes},
author={Daniel Daigle},
journal={Annales Polonici Mathematici},
year={2001},
volume={76},
pages={47-66}
}```
• D. Daigle
• Published 2001
• Mathematics
• Annales Polonici Mathematici
It is explained that the following two problems are equivalent: (i) describing all ane 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.) Introduction. An \ane ruling" of an algebraic surface X is a mor- phism p : U ! where is a curve, U is a nonempty open subset of X isomorphic to A 1 and p is the projection A 1 ! (note that we…

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• Mathematics
• 2001
where Xs denotes the smooth locus of X, consider: Problem 1. Find all affine rulings of X. Problem 2. Find all pairs of curves C1, C2 on X such that X n (C1 [ C2) is isomorphic to P2 minus two lines.
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