Conic bundles in projective fourspace

Details Conic bundles in projective fourspace Conic bundles in projective fourspace

1993-09-27

arxiv.org/abs/alg-geom/9309006v1

Mathematics

Algebraic Geometry

7 pages, Plain-TeX

Scientific paper

P. Ellia and G.Sacchiero have shown that if $S$ is a smooth surface in $\Pn 4$ which is ruled in conics, then $S$ has degree 4 or 5. In this paper we give a proof of this result combining the ideas of Ellia and Sacchiero as they are used in the paper of the second author on plane curve fibrations and the recent work of G. Fl\o ystad and the first author bounding the degree of smooth surfaces in $\Pn 4$ not of general type.

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