多分次局部上同调模的支撑度
Supporting degrees of multi-graded local cohomolgoy modules
摘要：
对于正分次交换诺特环$R$上的分次生成分次模$M$，第二作者在1999年建立了一些限制，这些限制可以用$M$的Castelnuovo正则性或$M$的所谓$a^*$ -不变量来表示，它们是关于分次不可分解分次内射直和项的支撑度的，对于$M$的最小分次内射分解中的任一项，其相相伴素理想包含$R$的无关理想。早在1995年，T. Marley建立了$M$的分次局部上同调模和$M$在$\Proj(R)$上的局部行为之间的联系。本文的目的是提出一些多级类似的上述工作。
英文摘要：
For a finitely generated graded module $M$ over a positively-graded commutative Noetherian ring $R$, the second author established in 1999 some restrictions, which can be formulated in terms of the Castelnuovo regularity of $M$ or the so-called $a^*$-invariant of $M$, on the supporting degrees of a graded-indecomposable graded-injective direct summand, with associated prime ideal containing the irrelevant ideal of $R$, of any term in the minimal graded-injective resolution of $M$. Earlier, in 1995, T. Marley had established connections between finitely graded local cohomology modules of $M$ and local behaviour of $M$ across $\Proj(R)$. The purpose of this paper is to present some multi-graded analogues of the above-mentioned work.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
