Effective freeness of adjoint line bundles

Details Effective freeness of adjoint line bundles Effective freeness of adjoint line bundles

2001-08-17

arxiv.org/abs/math/0108118v1

Mathematics

Algebraic Geometry

13 pages, AMS-LaTeX

Scientific paper

In this note we establish a new Fujita-type 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.

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