Gonality of a general ACM curve in projective 3-space
| dc.creator | Hartshorne, Robin | |
| dc.creator | Schlesinger, Enrico | |
| dc.date | 2008-12-09 | |
| dc.date.accessioned | 2026-07-07T12:10:46Z | |
| dc.date.available | 2026-07-07T12:10:46Z | |
| dc.description | Let C be an ACM (projectively normal) nondegenerate smooth curve in projective 3-space, and suppose C is general in its Hilbert scheme - this is irreducible once the postulation is fixed. Answering a question posed by Peskine, we show the gonality of C is d-l, where d is the degree of the curve, and l is the maximum order of a multisecant line of C. Furthermore l=4 except for two series of cases, in which the postulation of C forces every surface of minimum degree containing C to contain a line as well. We compute the value of l in terms of the postulation of C in these exceptional cases. We also show the Clifford index of C is equal to the gonality minus 2. | |
| dc.description | Pdf-latex, 2 pdf figures, 42 pages | |
| dc.identifier | https://arxiv.org/abs/0812.1634 | |
| dc.identifier | http://arxiv.org/abs/0812.1634 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210027 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H50,14H51 | |
| dc.title | Gonality of a general ACM curve in projective 3-space | |
| dc.type | text |