On the variety of rational space curves

Details On the variety of rational space curves On the variety of rational space curves

1997-10-30

arxiv.org/abs/alg-geom/9710034v1

Mathematics

Algebraic Geometry

Scientific paper

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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