On the intersections of rational curves with cubic plane curves
| dc.creator | Xu, Geng | |
| dc.date | 1995-11-08 | |
| dc.date | 1996-07-12 | |
| dc.date.accessioned | 2026-07-07T08:58:02Z | |
| dc.date.available | 2026-07-07T08:58:02Z | |
| dc.description | Let C be a smooth cubic curve in the complex projective plane. We show that for every positive integer k, there are only finite number of rational curves of degree k each intersects the cubic C at exactly one point. The number of such rational curves is known when k is 1, as a smooth cubic has 9 flexes points. This number seems to be closely related to the number of plane rational curves of degree k passing through 3k-1 general points, which has been computed. | |
| dc.description | 14 pages plain TeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9511006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9511006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147169 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the intersections of rational curves with cubic plane curves | |
| dc.type | text |