On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in P^5
| dc.creator | Bazan, Dolores | |
| dc.creator | Mezzetti, Emilia | |
| dc.date | 2000-05-17 | |
| dc.date.accessioned | 2026-07-07T04:35:20Z | |
| dc.date.available | 2026-07-07T04:35:20Z | |
| dc.description | We study the degeneracy loci of general bundle morphisms from the direct sum of m copies of the structural sheaf on $P^n$ to $Ω(2)$, also from the point of view of the classical geometrical interpretation of the sections of $Ω(2)$ as linear line complexes. We consider in particular the case of $P^5$ with m=2, 3. For n=5 and m=3 we give an explicit description of the Hilbert scheme H of elliptic normal scrolls in $P^5$, by defining a natural rational map from the Grassmannian G(2,14) to H, which results to be dominant with general fibre of degree four. | |
| dc.description | 17 pages, 1 figure, to be published in Geometriae Dedicata | |
| dc.identifier | https://arxiv.org/abs/math/0005173 | |
| dc.identifier | http://arxiv.org/abs/math/0005173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59220 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05, 14H52, 14J10 | |
| dc.title | On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in P^5 | |
| dc.type | text |