Rational singularities associated to pairs
Rational singularities associated to pairs
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与对相关的有理奇点
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
S. Takagi
中科院分区：
文献类型：
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作者：
Karl Schwede;S. Takagi
本文引入了$(X, \ba^t)$对的有理数奇点的概念，其中$X$是一个变种，$\ba$是一个理想束，$t$是一个非负实数。我们证明了大多数关于有理奇点的标准结果都可以推广到这种情况。我们还表明，一些通常与日志终端对相关的结果在这种情况下也有类似的情况，包括与附加倒置相关的结果。定义并探讨了对的有理奇点的一个正特征模拟。
In this paper we introduce a notion of rational singularities associated to pairs $(X, \ba^t)$ where $X$ is a variety, $\ba$ is an ideal sheaf and $t$ is a nonnegative real number. We prove that most standard results about rational singularities extend to this context. We also show that some results commonly associated with log terminal pairs have analogs in this context, including results related to inversion of adjunction. A positive characteristic analogue of rational singularities of pairs is also defined and explored.