English

A note on rational surfaces in projective four-space

Algebraic Geometry 2007-05-23 v1

Abstract

It is proved that a smooth rational surface in projective four-space, which is ruled by cubics or quartics has degree at most 12. It is also proved that a smooth rational surface in projective four-space which is the image of Fn by a linear system with "simple base points" (see text) has degree at most 12.

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Cite

@article{arxiv.math/9905148,
  title  = {A note on rational surfaces in projective four-space},
  author = {Philippe Ellia},
  journal= {arXiv preprint arXiv:math/9905148},
  year   = {2007}
}

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