- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- A note on the associated primes of local cohomology modules for regular local rings
A note on the associated primes of local cohomology modules for regular local rings
Authors : Yubin Gao
Pages : 2775-2778
View : 9 | Download : 3
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Local cohomology modules, associated primes, regular local rings