Cohen-Macaulayness of formal fibers and dimension of local cohomology modules

Tran Do Minh Chau

Let $(R,\mathfrak{m})$ be a Noetherian local ring, $M$ a finitely generated $R$-module of dimension $d$. Set $\mathfrak{a}(M):={\mathfrak{a}}_0(M)\cdots {\mathfrak{a}}_{d-1}(M)$, whe…