A CANONICAL BUNDLE FORMULA

A CANONICAL BUNDLE FORMULA
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DOI:
10.4310/jdg/1090347529
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发表时间:
2000-09
影响因子:
2.5
通讯作者:
O. Fujino;S. Mori
O. Fujino;S. Mori
中科院分区:
数学1区
文献类型:
--
作者:
O. Fujino;S. Mori

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得到了科代拉正则丛公式的一个更高维度的类似物。作为应用,我们证明了k ≤ 3的klt对的对数正则环是n-生成的,并且存在一个有效可计算的自然数M,使得|MK X|对每个科代拉维数κ =1的代数三重X导出Iitaka分解。
A higher dimensional analogue of Kodaira’s canonical bundle formula is obtained. As applications, we prove that the log-canonical ring of a klt pair with κ ≤ 3is finitely generated, and that there exists an effectively computable natural number M such that | MK X | induces the Iitaka fibering for every algebraic threefold X with Kodaira dimension κ =1 .