On Self-Intersection Number of a Section on a Ruled Surface

@article{Nagata1970OnSN,
  title={On Self-Intersection Number of a Section on a Ruled Surface},
  author={M. Nagata},
  journal={Nagoya Mathematical Journal},
  year={1970},
  volume={37},
  pages={191-196}
}
  • M. Nagata
  • Published 1970
  • Mathematics
  • Nagoya Mathematical Journal
Let E be a non-singular projective curve of genus g ≥ 0, P the projective line and let F be the surface E× P . Then it is well known that a ruled surface F* which is birational to F is biregular to a surface which is obtained by successive elementary transformations from F (for the notion of an elementary transformation, see [3]). 

References

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