论文标题
良好理想和Apéry套装的补充分区
Partition of complement of good ideals and Apéry sets
论文作者
论文摘要
良好的半群形成了$ \ mathbb {n}^d $的一类亚monoi，其中包含曲线奇点的值。在本文中，我们描述了良好的半群理想补充的分区，作为主要应用程序的描述，对良好的半群岛的Apéry组描述。这将概括为任何$ d \ geq 2 $最近的d'Anna，Guerrieri和Micale的结果，这些结果在$ d = 2 $的情况下得到了证明，仅针对最小的非零元素的标准apéry设置。还提供了一些描述$ \ mathbb {n}^d $的良好半群的新结果。
Good semigroups form a class of submonoids of $\mathbb{N}^d$ containing the value semigroups of curve singularities. In this article, we describe a partition of the complements of good semigroup ideals, having as main application the description of the Apéry sets of good semigroups. This generalizes to any $d \geq 2$ the results of a recent paper of D'Anna, Guerrieri and Micale, which are proved in the case $d=2$ and only for the standard Apéry set with respect to the smallest nonzero element. Several new results describing good semigroups in $\mathbb{N}^d$ are also provided.
