GEOMETRICALLY RULED SURFACES AS ZERO LOCI OF AMPLE VECTOR-BUNDLES

Authors
LANTERI A MAEDA H
Citation
A. Lanteri et H. Maeda, GEOMETRICALLY RULED SURFACES AS ZERO LOCI OF AMPLE VECTOR-BUNDLES, Forum mathematicum, 9(1), 1997, pp. 1-15
Citations number
18
Categorie Soggetti
Mathematics,Mathematics,Mathematics
Journal title
Forum mathematicum → ACNP
ISSN journal
09337741
Volume
9
Issue
1
Year of publication
1997
Pages
1 - 15
Database
ISI
SICI code
0933-7741(1997)9:1<1:GRSAZL>2.0.ZU;2-Y
Abstract
Let E be an ample vector bundle of rank n-2 greater than or equal to 2 on a complex projective manifold X of dimension n having a section wh ose zero locus is a smooth surface Z. Pairs (X, E) as above are classi fied under the assumption that Z is a P-1-bundle over a smooth curve. We also prove that kappa(X)=-infinity if Z is a birationally ruled sur face.