On the variety of rational space curves
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 1997
- DOI:
- 10.48550/arXiv.alg-geom/9710034
- arXiv:
- arXiv:alg-geom/9710034
- Bibcode:
- 1997alg.geom.10034R
- Keywords:
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- Algebraic Geometry