On the dimension of the Hilbert scheme of curves
| dc.creator | Chen, Dawei | |
| dc.date | 2008-08-26 | |
| dc.date.accessioned | 2026-07-07T09:58:38Z | |
| dc.date.available | 2026-07-07T09:58:38Z | |
| dc.description | Consider a component of the Hilbert scheme whose general point corresponds to a degree d genus g smooth irreducible and nondegenerate curve in a projective variety X. We give lower bounds for the dimension of such a component when X is P^3, P^4 or a smooth quadric threefold in P^4 respectively. Those bounds make sense from the asymptotic viewpoint if we fix d and let g vary. Some examples are constructed using determinantal varieties to show the sharpness of the bounds for d and g in a certain range. The results can also be applied to study rigid curves. | |
| dc.description | 15 pages, comments are welcome | |
| dc.identifier | https://arxiv.org/abs/0808.3604 | |
| dc.identifier | http://arxiv.org/abs/0808.3604 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167792 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10; 14H45; 14H50 | |
| dc.title | On the dimension of the Hilbert scheme of curves | |
| dc.type | text |