A note on rational surfaces in projective four-space

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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