Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T23:56:14.098Z Has data issue: false hasContentIssue false

On relative base point freeness of adjoint bundle

Published online by Cambridge University Press:  22 January 2016

Shigeharu Takayama*
Affiliation:
Department of Mathematics, Naruto University of Education, Takashima, Naruto-cho, Naruto-shi, 772, Japan, [email protected]
Rights & Permissions [Opens in a new window]

Abstract.

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give an effective result on the relative base point freeness of an adjoint bundle for a pair of a projective morphism and a relatively ample line bundle.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

[AS] Angehrn, U., Siu, Y. T., Effective freeness and point separation for adjoint bundles, Invent, math., 122 (1995), 291308.CrossRefGoogle Scholar
[D1] Demailly, J. P., A numerical criterion for very ample line bundles, Jour, of Diff. Geom., 37 (1993), 323374.Google Scholar
[D2] Demailly, J. P., L2 vanishing theorem for positive line bundles and adjunction theory, to appear, CIME Session, Transcendental Methods in Algebraic Geometry, Cetraro, Italy (1994).Google Scholar
[F] Fujita, T., On polarized manifolds whose adjoint bundles are not semipositive, Algebraic Geometry, Sendai, 1985, Advanced Studies in Pure Math., 10, North-Holland, Amsterdam (1987), pp. 167178.Google Scholar
[K] Kachi, Y., Extremal contractions from 4-dimensional manifolds to 3-folds, pre-print (1995).Google Scholar
[KMM] Kawamata, Y., Matsuda, K., Matsuki, K., Introduction to the Minimal Model Problem, Algebraic Geometry, Sendai, 1985, Advanced Studies in Pure Math., 10 North-Holland, Amsterdam (1987), pp. 283360.Google Scholar
[L] Lazarsfeld, R., Lectures on Linear Series, to appear (1994).Google Scholar
[N] Nadel, A. M., Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature, Ann. of Math., 132 (1990), 549596.Google Scholar
[OT] Ohsawa, T., Takegoshi, K., On the Extension of L2 Holomorphic Functions, Math. Z., 195 (1987), 197204.Google Scholar
[Tj] Tsuji, H., Global generation of adjoint bundles, Nagoya Math. J., 142 (1996), 516.Google Scholar