论文标题
在渐近的局部协同学模块上
On asymptotic socle degrees of local cohomology modules
论文作者
论文摘要
让$ r $是$ k $的标准分级代数，而$ i $是$ r $的同质理想。我们研究一个问题是否存在常数$ c $，以至于$ \ soc（h^{j} _ {\ fm}（r/i^t））_ {<-ct} = 0 $ for All $ t \ geq 1 $和此问题的变化。我们还在这个问题和主要特征中量规结合的概念之间建立了联系。
Let $R$ be a standard graded algebra over a field $k$ and $I$ be a homogeneous ideal of $R$. We study the question whether there is a constant $c$ such that $\Soc(H^{j}_{\fm}(R/I^t))_{<-ct}=0$ for all $t\geq 1$ and a variation of this question. We also draw a connection between this question and the notion of gauge-boundedness in prime characteristic.
