Effective freeness of adjoint line bundles
Gordon Heier
Current address: Ruhr-Universität Bochum Harvard University Fakultät für Mathematik Department of Mathematics D-44780 Bochum Cambridge, MA 02138 Germany USA
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Abstract
This note shows how two existing approaches to providing effective (quadratic) bounds for the freeness of adjoint line bundles can be linked to establish a new effective bound which approximately differs from the linear bound conjectured by Fujita only by a factor of the cube root of the dimension of the underlying manifold. As an application, a new effective statement for pluricanonical embeddings is derived.
Cite this article
Gordon Heier, Effective freeness of adjoint line bundles. Doc. Math. 7 (2002), pp. 31–42
DOI 10.4171/DM/116