论文标题
分析差和相关的分区过滤素数
Analytic Spread and Associated primes of divisorial filtrations
论文作者
论文摘要
我们证明，麦克亚当的古典定理是关于理想在noetherian本地环中的分析传播的，对于出色的本地戒指$ r $上的分区过滤是正确的，这是等等的零或尺寸$ \ \ le 3 $。实际上，只要解决奇异之处时，证明都是有效的。
We prove that a classical theorem of McAdam about the analytic spread of an ideal in a Noetherian local ring is true for divisorial filtrations on an excellent local ring $R$ which is either of equicharacteristic zero or of dimension $\le 3$. In fact, the proof is valid whenever resolution of singularities holds.
