Effective freeness of adjoint line bundles

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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.
13 pages, AMS-LaTeX

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Algebraic Geometry, 14C20, 14F17, 14B05

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http://salesiana.dossiersoluciones.com/handle/123456789/62035

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108118
 http://arxiv.org/abs/math/0108118

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arXiv