Turkish Journal of Mathematics
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
Recommended Citation
GAO, Y (2018). A note on the associated primes of local cohomology modules for regular local rings. Turkish Journal of Mathematics 42 (5): 2775-2778. https://doi.org/10.3906/mat-1602-67
