On the Gorenstein locus of some punctual Hilbert schemes
| dc.creator | Casnati, Gianfranco | |
| dc.creator | Notari, Roberto | |
| dc.date | 2008-03-07 | |
| dc.date | 2008-04-18 | |
| dc.date.accessioned | 2026-07-07T09:33:06Z | |
| dc.date.available | 2026-07-07T09:33:06Z | |
| dc.description | Let $k$ be an algebraically closed field and let $\Hilb_{d}^{G}(\p{N})$ be the open locus of the Hilbert scheme $\Hilb_{d}(\p{N})$ corresponding to Gorenstein subschemes. We prove that $\Hilb_{d}^{G}(\p{N})$ is irreducible for $d\le9$, we characterize geometrically its singularities for $d\le 8$ and we give some results about them when $d=9$ which give some evidence to a conjecture on the nature of the singular points in $\Hilb_{d}^{G}(\p{N})$. | |
| dc.description | The exposition has been improved and some of the main results have been extended to degree $d\le 9$ | |
| dc.identifier | https://arxiv.org/abs/0803.1135 | |
| dc.identifier | http://arxiv.org/abs/0803.1135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159015 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14C05; 13H10; 14M05 | |
| dc.title | On the Gorenstein locus of some punctual Hilbert schemes | |
| dc.type | text |