Local cohomology modules of indecomposable surjective-Buchsbaum modules over Gorenstein local rings (Q678793)

\textit{Evans} and \textit{Griffith} gave a Noetherian local ring with prescribed local cohomology modules. The main result of the present article is its analogue on indecomposible modules. That is, let \(A\) be a Gorenstein local ring of multiplicity \(>2\) and \(h_0,\dots, h_{d-1}\) positive integers. Then there is an indecomposable finitely generated \(A\)-module \(M\) such that \(\ell(H^i_m(M))= h_i\) for all \(0\leq i<d\). Here \(d=\dim A\).