Families of singular rational curves
| dc.creator | Kebekus, Stefan | |
| dc.date | 2000-04-05 | |
| dc.date | 2000-06-06 | |
| dc.date.accessioned | 2026-07-07T04:34:38Z | |
| dc.date.available | 2026-07-07T04:34:38Z | |
| dc.description | Let X be a projective variety which is covered by a family of rational curves of minimal degree. The classic bend-and-break argument of Mori asserts that if x and y are two general points, then there are at most finitely many curves in that family which contain both x and y. In this work we shed some light on the question as to whether two sufficiently general points actually define a unique curve. As an immediate corollary to the results of this paper, we give a characterization of projective spaces which improves on the known generalizations of Kobayashi-Ochiai's theorem. | |
| dc.description | Reason for resubmission: improved exposition | |
| dc.identifier | https://arxiv.org/abs/math/0004023 | |
| dc.identifier | http://arxiv.org/abs/math/0004023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58974 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J45; 14C15 | |
| dc.title | Families of singular rational curves | |
| dc.type | text |