Geodesic
Vertically of (-1)-Lines in Scrolls Over Smooth Surfaces
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 236-239

Voir la notice de l'article provenant de la source Cambridge

DOI

Let S be a smooth surface contained as an ample divisor in a smooth complex projective threefold X, which is a P 1 -bundle, and assume that induces OP 1 (1) on the fibres of X. The following fact is proven. The restriction to S of the bundle projection of X is exactly the reduction morphism of the pair provided that this one is not a conic bundle. The proof is very simple and does not involve any consideration on the nefness of the adjoint bundle Some applications of the proof are given.
DOI : 10.4153/CMB-1991-038-3
Mots-clés : 14C20, 14J30., ample line bundle, scroll, quadric bundle, adjunction theory. 
Lanteri, Antonio. Vertically of (-1)-Lines in Scrolls Over Smooth Surfaces. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 236-239. doi: 10.4153/CMB-1991-038-3
@article{10_4153_CMB_1991_038_3,
     author = {Lanteri, Antonio},
     title = {Vertically of {(-1)-Lines} in {Scrolls} {Over} {Smooth} {Surfaces}},
     journal = {Canadian mathematical bulletin},
     pages = {236--239},
     year = {1991},
     volume = {34},
     number = {2},
     doi = {10.4153/CMB-1991-038-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-038-3/}
}
TY  - JOUR
AU  - Lanteri, Antonio
TI  - Vertically of (-1)-Lines in Scrolls Over Smooth Surfaces
JO  - Canadian mathematical bulletin
PY  - 1991
SP  - 236
EP  - 239
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-038-3/
DO  - 10.4153/CMB-1991-038-3
ID  - 10_4153_CMB_1991_038_3
ER  - 
%0 Journal Article
%A Lanteri, Antonio
%T Vertically of (-1)-Lines in Scrolls Over Smooth Surfaces
%J Canadian mathematical bulletin
%D 1991
%P 236-239
%V 34
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-038-3/
%R 10.4153/CMB-1991-038-3
%F 10_4153_CMB_1991_038_3

Cité par Sources :