On the variety of rational space curves
alg-geom
2007-05-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9710034,
title = {On the variety of rational space curves},
author = {Z. Ran},
journal= {arXiv preprint arXiv:alg-geom/9710034},
year = {2007}
}