Free pencils on divisors
| dc.creator | Paoletti, Roberto | |
| dc.date | 1993-03-28 | |
| dc.date | 1993-04-09 | |
| dc.date.accessioned | 2026-07-07T08:57:46Z | |
| dc.date.available | 2026-07-07T08:57:46Z | |
| dc.description | Let X be a smooth projective variety defined over an algebraically closed field, and let Y in X be a reduced and irreducible ample divisor in X. We give a numerical sufficient condition for a base point free pencil on $Y$ to be the restriction of a base point free pencil on $X$. This result is then extended to families of pencils and to morphisms to arbitrary smooth curves. Serrano had already studied this problem in the case n=2 and 3, and Reider had then attacked it in the case $n=2$ using vector bundle methods based on Bogomolov's instability theorem on a surface (char(k)=0). The argument given here is based on Bogomolov's theorem on an n-dimensional variety, and on its recent adaptations to the setting of prime charachterstic (due to Shepherd-Barron and Moriwaki). | |
| dc.description | 18 pages, amslatex | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9303005 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9303005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147061 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Free pencils on divisors | |
| dc.type | text |