Degenerations of scrolls to unions of planes
| dc.creator | Calabri, Alberto | |
| dc.creator | Ciliberto, Ciro | |
| dc.creator | Flamini, Flaminio | |
| dc.creator | Miranda, Rick | |
| dc.date | 2006-01-12 | |
| dc.date | 2006-01-17 | |
| dc.date.accessioned | 2026-07-07T06:58:51Z | |
| dc.date.available | 2026-07-07T06:58:51Z | |
| dc.description | In this paper we study degenerations of scrolls to union of planes, a problem already considered by G. Zappa in 1940-50. We prove, using techniques different from the ones of Zappa, a degeneration result to union of planes with the mildest possible singularities, for linearly normal scrolls of genus $g$ and of degree $d$ larger than $2g+4$ in $\Pp^{d-2g+1}$. We also study properties of components of the Hilbert scheme parametrizing scrolls. Finally we review Zappa's original approach. | |
| dc.description | Latex2e, 26 pages, 15 figures. submitted preprint. v.2: some misprints are corrected | |
| dc.identifier | https://arxiv.org/abs/math/0601295 | |
| dc.identifier | http://arxiv.org/abs/math/0601295 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107526 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J26, 14D06, 14N20; (Secondary) 14H60, 14N10 | |
| dc.title | Degenerations of scrolls to unions of planes | |
| dc.type | text |