子加逆与乘子理想
Inversion of subadjunction and multiplier ideals
摘要：
我们提出了一个推广的乘数理想版本的逆的附加，通常被称为限制定理，任意余维中心。我们从子附加的观点来探讨附加的倒装。设X是光滑复射影簇，Z是有效Q-因子D在X的某个稠密开子集上的例外对数典范中心，该稠密开子集包含Z的泛点. X的任何子簇都可以表示为某个D的中心。我们定义了一个伴随理想来度量非klt（X，D）在Z的泛点之外的程度。我们的主要定理是，这个伴随理想限制Z的乘数理想的适当的边界建设以同样的方式作为边界川俣的subadjunction定理。我们的定理推广了Kawamata的子伴随定理，并暗示，在一般情况下，Kawamata的子伴随的边界是klt当且仅当Z是（X，D）的一个例外的对数典范中心。
英文摘要：
We present a generalization of the multiplier ideal version of inversion of adjunction, often known as the restriction theorem, to centers of arbitrary codimension. We approach inversion of adjunction from the subadjunction point of view. Let X be a smooth complex projective variety and let Z be an exceptional log-canonical center of an effective Q-divisor D on some dense open subset of X that contains the generic point of Z. Any subvariety of X can be expressed as such a center for some D. We define an adjoint ideal that measures how non-klt (X, D) is outside the generic point of Z. Our main theorem is that this adjoint ideal restricts on Z to the multiplier ideal of an appropriate boundary constructed in the same manner as the boundary in Kawamata's subadjunction theorem. Our theorem extends Kawamata's subadjunction theorem and implies that, in general, the boundary in Kawamata's subadjunction is klt if and only if Z is an exceptional log-canonical center of (X, D).
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