Lagrangian fibrations on Hilbert schemes of points on K3 surfaces
| dc.creator | Sawon, Justin | |
| dc.date | 2005-09-09 | |
| dc.date | 2005-10-07 | |
| dc.date.accessioned | 2026-07-07T12:59:44Z | |
| dc.date.available | 2026-07-07T12:59:44Z | |
| dc.description | Let $\mathrm{Hilb}^gS$ be the Hilbert scheme of $g$ points on a K3 surface $S$. Suppose that $\mathrm{Pic}S\cong\Z C$ where $C$ is a smooth curve with $C^2=2(g-1)n^2$. We prove that $\mathrm{Hilb}^gS$ is a Lagrangian fibration. | |
| dc.description | 21 pages, original (stronger) version of Theorem 2 proved | |
| dc.identifier | https://arxiv.org/abs/math/0509224 | |
| dc.identifier | http://arxiv.org/abs/math/0509224 | |
| dc.identifier | J. Algebraic Geom. 16 (2007), no. 3, 477-497 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225664 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C26; 14D06; 14J28; 14J60 | |
| dc.title | Lagrangian fibrations on Hilbert schemes of points on K3 surfaces | |
| dc.type | text |