On varieties which are uniruled by lines
| dc.creator | Knutsen, A. L. | |
| dc.creator | Novelli, C. | |
| dc.creator | Sarti, A. | |
| dc.date | 2005-03-08 | |
| dc.date | 2006-01-12 | |
| dc.date.accessioned | 2026-07-07T06:39:32Z | |
| dc.date.available | 2026-07-07T06:39:32Z | |
| dc.description | Using the $\sharp$-minimal model program of uniruled varieties we show that for any pair $(X, \H)$ consisting of a reduced and irreducible variety $X$ of dimension $k \geq 3$ and a globally generated big line bundle $\H$ on $X$ with $d:= \H^k$ and $n:= h^0(X, \H)-1$ such that $d<2(n-k)-4$, then $X$ is uniruled of $\H$-degree one, except if $(k,d,n)=(3,27,19)$ and a ${\sharp}$-minimal model of $(X, \H)$ is $(\PP^3,Ø_{\PP^3}(3))$. We also show that the bound is optimal for threefolds. | |
| dc.description | 19 pages. Corrected version: lemma 2.2 in the previous version removed and substitued by lemma 2.3 in the new version | |
| dc.identifier | https://arxiv.org/abs/math/0503161 | |
| dc.identifier | http://arxiv.org/abs/math/0503161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101113 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary:14E30,14J30, 14J40, 14N25; Secondary:14C20,14H45 | |
| dc.title | On varieties which are uniruled by lines | |
| dc.type | text |