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On the variety of rational space curves

Z. Ran
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Abstract

We consider the locus of irreducible nonsingular rational curves of degree d Pn, n>2, meeting a generic collection of linear subspaces. When this locus is 0 (resp 1)- dimensional, we compute (recursively) its degree (resp. geometric genus). The method is completely elementary and similar to that of (alg-geom/9704004, alg-geom/9708013), where the case n=2 was considered.

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Z. Ran. 1997-10-30. On the variety of rational space curves. https://arxiv.org/abs/alg-geom/9710034

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