论文标题

局部共同学模块和lyubeznik编号的某些内态环

Certain endomorphism rings of local cohomology modules and Lyubeznik numbers

论文作者

Boix, Alberto F., Eghbali, Majid

论文摘要

本文的目的是双重的。一方面,是由Schenzel提出的问题所激发的,我们探讨了Hartshorne-Lichthebaum消失的本地共同体学定理失败的情况,这使我们更简单地表达了某些本地共同体学模块。作为应用,我们给出了这些模块的内态环的新表达式。另一方面,基于àlvarezMontaner的先前工作,我们展示了Sbarra和Strazzanti引入的So-Macaulay环的lyubeznik桌子的形状。

The goal of this paper is twofold; on the one hand, motivated by questions raised by Schenzel, we explore situations where the Hartshorne--Lichtenbaum Vanishing Theorem for local cohomology fails, leading us to simpler expressions of certain local cohomology modules. As application, we give new expressions of the endomorphism ring of these modules. On the other hand, building upon previous work by Àlvarez Montaner, we exhibit the shape of Lyubeznik tables of the so--called partially sequentially Cohen--Macaulay rings as introduced by Sbarra and Strazzanti.

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