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A note on rational surfaces in projective four-space

Philippe Ellia
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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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Philippe Ellia. 1999-05-24. A note on rational surfaces in projective four-space. https://arxiv.org/abs/math/9905148

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