On injectivity, vanishing and torsion-free theorems for algebraic varieties
On injectivity, vanishing and torsion-free theorems for algebraic varieties
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DOI：
10.3792/pjaa.85.95
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发表时间：
2009-10
期刊：
影响因子：
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通讯作者：
O. Fujino
中科院分区：
文献类型：
--
作者：
O. Fujino
我们给出了一个简短的和几乎自包含的证明推广Kollar的消失和无挠定理。虽然他们包含在安布罗的更一般的结果嵌入正常的交叉对，我们给出了一个替代和直接减少参数的混合霍奇理论。在这个意义上，本文给出了一个更可读的帐户的应用程序的日志最小模型程序的日志典型对。
We give a short and almost self-contained proof of generalizations of Kollar's vanishing and torsion-free theorems. Although they are contained in Ambro's much more general results on embedded normal crossing pairs, we give an alternate and direct reduction argument to the mixed Hodge theory. In this sense, this paper gives a more readable account of the application to the log minimal model program for log canonical pairs.