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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