References
[A94] Angehrn, U.: An effective polynomial bound for base point freeness and point separation of adjoint bundles. Harvard thesis (1994)
[BS76] Banica, C., Stanasila, O.: Algebraic Methods in the Global Theory of Complex Spaces. New York: Wiley 1976
[D93] Demailly, J.-P.: A numerical criterion for very ample line bundles. J. Differ. Geom.37, 323–374 (1993)
[D94] Demailly, J.-P.: Transcendental methods in algebraic geometry. C.I.M.E. lecture notes (1994)
[EKL94] Ein, L., Küchle, O., Lazarsfeld, R.: Local positivity of ample line bundles. (Preprint August 1994)
[EL93] Ein, L. and Lazarsfeld, R.: Global generation of pluricanonical and adjoint linear series on smooth projective threefolds. J. A.M.S.6, 875–903 (1993)
[ELN94] Ein, L., Lazarsfeld, R., Nakamaye, M.: Zero-estimates, intersection theory, and a theorem of Demailly (Preprint 1995)
[Fr67] Frisch, J.: Points de platitude d'un morphisme d'espaces analytiques. Invent. Math.4, 118–138 (1967)
[Fu87] Fujita, T.: On polarized manifolds whose adjoint bundles are not semipositive. Algebraic Geometry. Sendai, Advanced Studies in Pure Math.10, 167–178 (1987)
[G60] Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Publ. Math. IHES5, 5–64 (1960)
[Ka82] Kawamata, Y.: A generalization of Kodaira-Ramanujam's vanishing theorem. Math. Ann.261, 43–46 (1982)
[Ko93] Kollar, J.: Effective base point freeness. Math. Ann.296, 595–605 (1993)
[N89] Nadel, A.: Multiplier ideal sheaves and the existence of Kähler-Einstein metrics of positive scalar curvature. Proc. Natl. Acad. Sci. USA86, 7299–7300 (1989); Ann. Math.132, 549–596 (1989)
[OT87] Ohsawa, T., Takegoshi, K.: On the extension ofL 2 holomorphic functions. Math. Z.195, 197–204 (1987)
[Re88] Reider, I.: Vector bundles of rank 2 and linear systems on algebraic surfaces. Ann. Math.127, 309–316 (1988)
[Ri70] Riemenschneider, O.: Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume. Math. Ann.187, 40–55 (1970)
[Sh85] Shokurov, V.: The non-vanishing theorem. Math. U.S.S.R. Izv.19, 591–607 (1985)
[S94a] Siu, Y.-T.: Effective very ampleness. Invent. Math. (to appear)
[S94b] Siu, Y.-T.: Very ampleness criterion of double adjoints of ample line bundles. Proceedings of the 1992 Princeton Conference in Honor of Gunning and Kohn, Ann. Math. Studies (to appear)
[V82] Viehweg, E.: Vanishing theorems. J. Reine Angew. Math.335, 1–8 (1982)
Author information
Authors and Affiliations
Additional information
Oblatum 3-1-1995 & 9-V-1995
Partially supported by a grant from the National Science Foundation
Rights and permissions
About this article
Cite this article
Angehrn, U., Siu, YT. Effective freeness and point separation for adjoint bundles. Invent Math 122, 291–308 (1995). https://doi.org/10.1007/BF01231446
Issue Date:
DOI: https://doi.org/10.1007/BF01231446