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Turkish Journal of Mathematics

Authors

YUBIN GAO

Abstract

Let $R$ be a regular local ring. In this note, we prove that $Ass_RH^2_I(R)$ is finite for any ideal $I$ of $R$. We also give a sufficient condition for $Ass_RH^3_{(x,y,z)}(R)$ to be finite for $x, y$ an $R$-regular sequence and $z\in R$, which would imply that Lyubeznik's conjecture is true in the regular local rings case.

DOI

10.3906/mat-1602-67

Keywords

Local cohomology modules, associated primes, regular local rings

First Page

2775

Last Page

2778

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Mathematics Commons

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