论文标题
来自希尔伯特功能的约束的贝蒂数字的上限
Upper bounds for Betti numbers from constraints on the Hilbert function
论文作者
论文摘要
我们描述了一种算法，用于在其希尔伯特功能上的某些限制下找到饱和理想的总贝蒂数量的尖锐上限。该算法在Macaulay2软件包，Maxbettinumbers中实现，以及产生最大总贝蒂数字的理想的变体。
We describe an algorithm for finding sharp upper bounds for the total Betti numbers of a saturated ideal given certain constraints on its Hilbert function. This algorithm is implemented in the Macaulay2 package, MaxBettiNumbers, along with variations that produce ideals with maximal total Betti numbers.
