Effective freeness of adjoint line bundles
Abstract
In this note we establish a new Fujitatype effective bound for the base point freeness of adjoint line bundles on a compact complex projective manifold of complex dimension $n$. The bound we obtain (approximately) differs from the linear bound conjectured by Fujita only by a factor of the cube root of $n$. As an application, a new effective statement for pluricanonical embeddings is derived.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2001
 arXiv:
 arXiv:math/0108118
 Bibcode:
 2001math......8118H
 Keywords:

 Algebraic Geometry;
 14C20;
 14F17;
 14B05
 EPrint:
 13 pages, AMSLaTeX