论文标题
多项式环中均质理想的重新崛起的极端值
Extreme values of the resurgence for homogeneous ideals in polynomial rings
论文作者
论文摘要
我们表明，2013年，瓜托，哈伯恩和范·图伊尔引入的两个表面上不同的版本是相同的。我们还表明，复兴和渐近复苏同时达到其最大值（如果有的话），我们将其应用于Grifo的猜想。对于积分的根本理想，我们表明复兴和渐近复苏同时达到了它们的最低值。此外，我们引入了复兴的整体封闭版本，并将其与复兴的其他版本相关联。最后，我们提供了各种示例并提出了一些相关的问题，我们将有关计算复苏的一些评论。
We show that two ostensibly different versions of the asymptotic resurgence introduced by Guardo, Harbourne and Van Tuyl in 2013 are the same. We also show that the resurgence and asymptotic resurgence attain their maximal values simultaneously, if at all, which we apply to a conjecture of Grifo. For radical ideals of points, we show that the resurgence and asymptotic resurgence attain their minimal values simultaneously. In addition, we introduce an integral closure version of the resurgence and relate it to the other versions of the resurgence. In closing we provide various examples and raise some related questions, and we finish with some remarks about computing the resurgence.
