Recovering the good component of the Hilbert scheme
| dc.creator | Ekedahl, Torsten | |
| dc.creator | Skjelnes, Roy | |
| dc.date | 2004-05-05 | |
| dc.date | 2008-07-15 | |
| dc.date.accessioned | 2026-07-07T09:50:16Z | |
| dc.date.available | 2026-07-07T09:50:16Z | |
| dc.description | In the Hilbert scheme of points on a scheme X there is an open subset parameterizing distinct points. The closure of that open set is by definition the good component. When X is flat over the base, we show that a certain blow-up of the symmetric product of X is the good component. The center of the blow-up we describe by giving generators for its defining ideal. In the non-flat case we obtain similar result by replacing the symmetric product with the divided power product. For smooth surfaces X the good component equals the Hilbert scheme of points. | |
| dc.description | Several sections are rewritten, and results are now in a more general context. In particular flatness, finite type and noetherian assumptions are removed from the main result. Inaccuracies and mistakes have been corrected | |
| dc.identifier | https://arxiv.org/abs/math/0405073 | |
| dc.identifier | http://arxiv.org/abs/math/0405073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164884 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C05 | |
| dc.title | Recovering the good component of the Hilbert scheme | |
| dc.type | text |