On complex manifolds polarized by an ample line bundle of sectional genus q(X)+2

Authors
Fukuma, Y
Citation
Y. Fukuma, On complex manifolds polarized by an ample line bundle of sectional genus q(X)+2, MATH Z, 234(3), 2000, pp. 573-604
Citations number
37
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
234
Issue
3
Year of publication
2000
Pages
573 - 604
Database
ISI
SICI code
0025-5874(200007)234:3<573:OCMPBA>2.0.ZU;2-9
Abstract
Let (X, L) be a polarized manifold with dim X = n. In this paper, we classi fy (X, L) with n = 3, h(0)(L) greater than or equal to 5, and g(L) = q(X) 2. Moreover we also classify (X, L) with n greater than or equal to 3, g(L ) = q(x) + 2, and Bs \ L \ = 0. Mathematics Subject Classification (1991): 14C20.