| dc.creator | Ballico, Edoardo | |
| dc.date | 2020-12-07 | |
| dc.date.accessioned | 2021-08-17T20:35:26Z | |
| dc.date.available | 2021-08-17T20:35:26Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2471 | |
| dc.identifier | 10.4067/S0719-06462020000300379 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/174240 | |
| dc.description | Let \(X\subset {\mathbb P}^r\) be an integral and non-degenerate curve. For each \(q\in {\mathbb P}^r\) the \(X\)-rank \(r_X(q)\) of \(q\) is the minimal number of points of \(X\) spanning \(q\). A general point of \({\mathbb P}^r\) has \(X\)-rank \(\lceil (r+1)/2\rceil\). For \(r=3\) (resp. \(r=4\)) we construct many smooth curves such that \(r_X(q) \le 2\) (resp. \(r_X(q) \le 3\)) for all \(q\in {\mathbb P}^r\) (the best possible upper bound). We also construct nodal curves with the same properties and almost all geometric genera allowed by Castelnuovo's upper bound for the arithmetic genus. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2471/2028 | |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 22 No. 3 (2020); 379–393 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 22 Núm. 3 (2020); 379–393 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | X-rank | en-US |
| dc.subject | projective curve | en-US |
| dc.subject | space curve | en-US |
| dc.subject | curve in projective spaces | en-US |
| dc.title | Curves in low dimensional projective spaces with the lowest ranks | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
