On the existence of plane curves with prescribed multiple points
| dc.creator | Roe, Joaquim | |
| dc.date | 1998-07-13 | |
| dc.date | 1999-05-18 | |
| dc.date.accessioned | 2026-07-07T05:25:23Z | |
| dc.date.available | 2026-07-07T05:25:23Z | |
| dc.description | We address the problem of determining the degree a plane curve must have in order to pass with multiplicity m through r points in general position. A conjecture of Nagata states that one must have d > m \sqrt{r}. We prove the inequalities d \geq m(r-1)\prod_{i=2}^{r-1}(1-i/(i^2+r-1)) and d > m (\sqrt{r-1} - π/8). | |
| dc.description | 13 pages, Latex, XYpic. Revised version, to appear in Journal of Pure and Applied Algebra | |
| dc.identifier | https://arxiv.org/abs/math/9807066 | |
| dc.identifier | http://arxiv.org/abs/math/9807066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77155 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the existence of plane curves with prescribed multiple points | |
| dc.type | text |