Geodesic
Effective freeness of adjoint line bundles
Documenta mathematica, Tome 7 (2002), pp. 31-42.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 14C20, 14F17, 14B05
Keywords: adjoint linear system, vanishing theorem, Fujita conjecture 
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     author = {Heier, Gordon},
     title = {Effective freeness of adjoint line bundles},
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     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2002__7__a18/}
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Heier, Gordon. Effective freeness of adjoint line bundles. Documenta mathematica, Tome 7 (2002), pp. 31-42. http://geodesic.mathdoc.fr/item/DOCMA_2002__7__a18/