Geodesic
Effective freeness of adjoint line bundles
Documenta mathematica, Tome 7 (2002), pp. 31-42
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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.
DOI : 10.4171/dm/116
Classification : 14B05, 14C20, 14F17
Mots-clés : vanishing theorem, adjoint linear system, Fujita conjecture 
@article{10_4171_dm_116,
     author = {Gordon Heier},
     title = {Effective freeness of adjoint line bundles},
     journal = {Documenta mathematica},
     pages = {31--42},
     year = {2002},
     volume = {7},
     doi = {10.4171/dm/116},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/116/}
}
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Gordon Heier. Effective freeness of adjoint line bundles. Documenta mathematica, Tome 7 (2002), pp. 31-42. doi: 10.4171/dm/116

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